Left Termination of the query pattern queens_in_1(a) w.r.t. the given Prolog program could successfully be proven:

(0) Obligation:

Clauses:

queens(Y) :- ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), Y), safe(Y)).
perm([], []).
perm(.(X, Y), .(V, Res)) :- ','(delete(V, .(X, Y), Rest), perm(Rest, Res)).
delete(X, .(X, Y), Y).
delete(X, .(F, T), .(F, R)) :- delete(X, T, R).
safe([]).
safe(.(X, Y)) :- ','(noattack(X, Y, s(0)), safe(Y)).
noattack(X, [], N).
noattack(X, .(F, T), N) :- ','(notEq(X, F), ','(add(F, N, FplusN), ','(notEq(X, FplusN), ','(add(X, N, XplusN), ','(notEq(F, XplusN), noattack(X, T, s(N))))))).
add(0, X, X).
add(s(X), Y, s(Z)) :- add(X, Y, Z).
notEq(0, s(X)).
notEq(s(X), 0).
notEq(s(X), s(Y)) :- notEq(X, Y).

Queries:

queens(a).

(1) PrologToDTProblemTransformerProof (SOUND transformation)

Built DT problem from termination graph.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
1 [label="1: queens(T1)\n\n", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
2 [label="2: queens(T1), SCOPE: 1, CLAUSE: 0\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
3 [label="3: ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), T4), safe(T4))\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
4 [label="4: ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), T4), safe(T4)), SCOPE: 2, CLAUSE: 1 | ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), T4), safe(T4)), SCOPE: 2, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
5 [label="5: ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), T4), safe(T4)), SCOPE: 2, CLAUSE: 2\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
6 [label="6: ','(delete(T11, .(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), X16), ','(perm(X16, T12), safe(.(T11, T12))))\n\nX16 is free", fontsize=16, style=filled, fillcolor=lightyellow];
7 [label="7: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: ','(delete(T11, .(s(0), T15), X16), ','(perm(X16, T12), safe(.(T11, T12))))\n\nT15 is ground\nX16 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
9 [label="9: delete(T11, .(s(0), T15), X16)\n\nT15 is ground\nX16 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
10 [label="10: ','(perm(T20, T21), safe(.(T22, T21)))\n\nT22 is ground\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: delete(T11, .(s(0), T15), X16), SCOPE: 3, CLAUSE: 3 | delete(T11, .(s(0), T15), X16), SCOPE: 3, CLAUSE: 4\n\nT15 is ground\nX16 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
12 [label="12: delete(T11, .(s(0), T15), X16), SCOPE: 3, CLAUSE: 3\n\nT15 is ground\nX16 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: delete(T11, .(s(0), T15), X16), SCOPE: 3, CLAUSE: 4\n\nT15 is ground\nX16 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="15: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
16 [label="16: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
17 [label="17: delete(T48, T47, X63)\n\nT47 is ground\nX63 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
18 [label="18: delete(T48, T47, X63), SCOPE: 4, CLAUSE: 3 | delete(T48, T47, X63), SCOPE: 4, CLAUSE: 4\n\nT47 is ground\nX63 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
19 [label="19: delete(T48, T47, X63), SCOPE: 4, CLAUSE: 3\n\nT47 is ground\nX63 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
20 [label="20: delete(T48, T47, X63), SCOPE: 4, CLAUSE: 4\n\nT47 is ground\nX63 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
21 [label="21: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
23 [label="23: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
24 [label="24: delete(T72, T71, X94)\n\nT71 is ground\nX94 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: perm(T20, T21)\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
27 [label="27: safe(.(T22, T77))\n\nT22 is ground\nT77 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
28 [label="28: perm(T20, T21), SCOPE: 5, CLAUSE: 1 | perm(T20, T21), SCOPE: 5, CLAUSE: 2\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
29 [label="29: perm(T20, T21), SCOPE: 5, CLAUSE: 1\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
30 [label="30: perm(T20, T21), SCOPE: 5, CLAUSE: 2\n\nT20 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
31 [label="31: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
32 [label="32: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
33 [label="33: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
34 [label="34: ','(delete(T90, .(T86, T87), X116), perm(X116, T91))\n\nT86 is ground\nT87 is ground\nX116 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
35 [label="35: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
36 [label="36: delete(T90, .(T86, T87), X116)\n\nT86 is ground\nT87 is ground\nX116 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
37 [label="37: perm(T96, T97)\n\nT96 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
38 [label="38: safe(.(T22, T77)), SCOPE: 6, CLAUSE: 5 | safe(.(T22, T77)), SCOPE: 6, CLAUSE: 6\n\nT22 is ground\nT77 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
39 [label="39: safe(.(T22, T77)), SCOPE: 6, CLAUSE: 6\n\nT22 is ground\nT77 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
40 [label="40: ','(noattack(T110, T111, s(0)), safe(T111))\n\nT110 is ground\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
41 [label="41: noattack(T110, T111, s(0))\n\nT110 is ground\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
42 [label="42: safe(T111)\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
43 [label="43: noattack(T110, T111, s(0)), SCOPE: 7, CLAUSE: 7 | noattack(T110, T111, s(0)), SCOPE: 7, CLAUSE: 8\n\nT110 is ground\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
44 [label="44: noattack(T110, T111, s(0)), SCOPE: 7, CLAUSE: 7\n\nT110 is ground\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
45 [label="45: noattack(T110, T111, s(0)), SCOPE: 7, CLAUSE: 8\n\nT110 is ground\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
46 [label="46: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
47 [label="47: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: ','(notEq(T127, T128), ','(add(T128, s(0), X175), ','(notEq(T127, X175), ','(add(T127, s(0), X176), ','(notEq(T128, X176), noattack(T127, T129, s(s(0))))))))\n\nT127 is ground\nT128 is ground\nT129 is ground\nX175 is free; \nX176 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: notEq(T127, T128)\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: ','(add(T128, s(0), X175), ','(notEq(T127, X175), ','(add(T127, s(0), X176), ','(notEq(T128, X176), noattack(T127, T129, s(s(0)))))))\n\nT127 is ground\nT128 is ground\nT129 is ground\nX175 is free; \nX176 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
53 [label="53: notEq(T127, T128), SCOPE: 8, CLAUSE: 11 | notEq(T127, T128), SCOPE: 8, CLAUSE: 12 | notEq(T127, T128), SCOPE: 8, CLAUSE: 13\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
54 [label="54: notEq(T127, T128), SCOPE: 8, CLAUSE: 11\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
55 [label="55: notEq(T127, T128), SCOPE: 8, CLAUSE: 12 | notEq(T127, T128), SCOPE: 8, CLAUSE: 13\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
56 [label="56: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
57 [label="57: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
58 [label="58: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
59 [label="59: notEq(T127, T128), SCOPE: 8, CLAUSE: 12\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: notEq(T127, T128), SCOPE: 8, CLAUSE: 13\n\nT127 is ground\nT128 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
61 [label="61: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
62 [label="62: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
63 [label="63: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
64 [label="64: notEq(T148, T149)\n\nT148 is ground\nT149 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
66 [label="66: add(T128, s(0), X175)\n\nT128 is ground\nX175 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: ','(notEq(T127, T152), ','(add(T127, s(0), X176), ','(notEq(T128, X176), noattack(T127, T129, s(s(0))))))\n\nT127 is ground\nT128 is ground\nT129 is ground\nT152 is ground\nX176 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
68 [label="68: add(T128, s(0), X175), SCOPE: 9, CLAUSE: 9 | add(T128, s(0), X175), SCOPE: 9, CLAUSE: 10\n\nT128 is ground\nX175 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
69 [label="69: add(T128, s(0), X175), SCOPE: 9, CLAUSE: 9\n\nT128 is ground\nX175 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
70 [label="70: add(T128, s(0), X175), SCOPE: 9, CLAUSE: 10\n\nT128 is ground\nX175 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
71 [label="71: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
72 [label="72: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
73 [label="73: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
74 [label="74: add(T155, s(0), X228)\n\nT155 is ground\nX228 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
75 [label="75: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
76 [label="76: notEq(T127, T152)\n\nT127 is ground\nT152 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
77 [label="77: ','(add(T127, s(0), X176), ','(notEq(T128, X176), noattack(T127, T129, s(s(0)))))\n\nT127 is ground\nT128 is ground\nT129 is ground\nX176 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
78 [label="78: add(T127, s(0), X176)\n\nT127 is ground\nX176 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
79 [label="79: ','(notEq(T128, T160), noattack(T127, T129, s(s(0))))\n\nT127 is ground\nT128 is ground\nT129 is ground\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
80 [label="80: notEq(T128, T160)\n\nT128 is ground\nT160 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
81 [label="81: noattack(T127, T129, s(s(0)))\n\nT127 is ground\nT129 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
82 [label="82: noattack(T127, T129, s(s(0))), SCOPE: 10, CLAUSE: 7 | noattack(T127, T129, s(s(0))), SCOPE: 10, CLAUSE: 8\n\nT127 is ground\nT129 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
83 [label="83: noattack(T127, T129, s(s(0))), SCOPE: 10, CLAUSE: 7\n\nT127 is ground\nT129 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
84 [label="84: noattack(T127, T129, s(s(0))), SCOPE: 10, CLAUSE: 8\n\nT127 is ground\nT129 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
85 [label="85: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
86 [label="86: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
87 [label="87: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: ','(notEq(T178, T179), ','(add(T179, s(s(0)), X276), ','(notEq(T178, X276), ','(add(T178, s(s(0)), X277), ','(notEq(T179, X277), noattack(T178, T180, s(s(s(0)))))))))\n\nT178 is ground\nT179 is ground\nT180 is ground\nX276 is free; \nX277 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
89 [label="89: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: notEq(T178, T179)\n\nT178 is ground\nT179 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
91 [label="91: ','(add(T179, s(s(0)), X276), ','(notEq(T178, X276), ','(add(T178, s(s(0)), X277), ','(notEq(T179, X277), noattack(T178, T180, s(s(s(0))))))))\n\nT178 is ground\nT179 is ground\nT180 is ground\nX276 is free; \nX277 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
92 [label="92: add(T179, s(s(0)), X276)\n\nT179 is ground\nX276 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
93 [label="93: ','(notEq(T178, T185), ','(add(T178, s(s(0)), X277), ','(notEq(T179, X277), noattack(T178, T180, s(s(s(0)))))))\n\nT178 is ground\nT179 is ground\nT180 is ground\nT185 is ground\nX277 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
94 [label="94: add(T179, s(s(0)), X276), SCOPE: 11, CLAUSE: 9 | add(T179, s(s(0)), X276), SCOPE: 11, CLAUSE: 10\n\nT179 is ground\nX276 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: add(T179, s(s(0)), X276), SCOPE: 11, CLAUSE: 9\n\nT179 is ground\nX276 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: add(T179, s(s(0)), X276), SCOPE: 11, CLAUSE: 10\n\nT179 is ground\nX276 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
97 [label="97: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
98 [label="98: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
99 [label="99: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
100 [label="100: add(T188, s(s(0)), X307)\n\nT188 is ground\nX307 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
101 [label="101: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
102 [label="102: notEq(T178, T185)\n\nT178 is ground\nT185 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
103 [label="103: ','(add(T178, s(s(0)), X277), ','(notEq(T179, X277), noattack(T178, T180, s(s(s(0))))))\n\nT178 is ground\nT179 is ground\nT180 is ground\nX277 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
104 [label="104: add(T178, s(s(0)), X277)\n\nT178 is ground\nX277 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
105 [label="105: ','(notEq(T179, T193), noattack(T178, T180, s(s(s(0)))))\n\nT178 is ground\nT179 is ground\nT180 is ground\nT193 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
106 [label="106: notEq(T179, T193)\n\nT179 is ground\nT193 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
107 [label="107: noattack(T178, T180, s(s(s(0))))\n\nT178 is ground\nT180 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="108: noattack(T178, T180, s(s(s(0)))), SCOPE: 12, CLAUSE: 7 | noattack(T178, T180, s(s(s(0)))), SCOPE: 12, CLAUSE: 8\n\nT178 is ground\nT180 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
109 [label="109: noattack(T178, T180, s(s(s(0)))), SCOPE: 12, CLAUSE: 7\n\nT178 is ground\nT180 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
110 [label="110: noattack(T178, T180, s(s(s(0)))), SCOPE: 12, CLAUSE: 8\n\nT178 is ground\nT180 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
111 [label="111: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
112 [label="112: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
113 [label="113: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
114 [label="114: ','(notEq(T211, T212), ','(add(T212, s(s(s(0))), X355), ','(notEq(T211, X355), ','(add(T211, s(s(s(0))), X356), ','(notEq(T212, X356), noattack(T211, T213, s(s(s(s(0))))))))))\n\nT211 is ground\nT212 is ground\nT213 is ground\nX355 is free; \nX356 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
115 [label="115: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
116 [label="116: notEq(T211, T212)\n\nT211 is ground\nT212 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="117: ','(add(T212, s(s(s(0))), X355), ','(notEq(T211, X355), ','(add(T211, s(s(s(0))), X356), ','(notEq(T212, X356), noattack(T211, T213, s(s(s(s(0)))))))))\n\nT211 is ground\nT212 is ground\nT213 is ground\nX355 is free; \nX356 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="118: add(T212, s(s(s(0))), X355)\n\nT212 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
119 [label="119: ','(notEq(T211, T218), ','(add(T211, s(s(s(0))), X356), ','(notEq(T212, X356), noattack(T211, T213, s(s(s(s(0))))))))\n\nT211 is ground\nT212 is ground\nT213 is ground\nT218 is ground\nX356 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
120 [label="120: add(T212, s(s(s(0))), X355), SCOPE: 13, CLAUSE: 9 | add(T212, s(s(s(0))), X355), SCOPE: 13, CLAUSE: 10\n\nT212 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
121 [label="121: add(T212, s(s(s(0))), X355), SCOPE: 13, CLAUSE: 9\n\nT212 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: add(T212, s(s(s(0))), X355), SCOPE: 13, CLAUSE: 10\n\nT212 is ground\nX355 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
123 [label="123: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
124 [label="124: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
125 [label="125: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: add(T221, s(s(s(0))), X386)\n\nT221 is ground\nX386 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
128 [label="128: notEq(T211, T218)\n\nT211 is ground\nT218 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
129 [label="129: ','(add(T211, s(s(s(0))), X356), ','(notEq(T212, X356), noattack(T211, T213, s(s(s(s(0)))))))\n\nT211 is ground\nT212 is ground\nT213 is ground\nX356 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
130 [label="130: add(T211, s(s(s(0))), X356)\n\nT211 is ground\nX356 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
131 [label="131: ','(notEq(T212, T226), noattack(T211, T213, s(s(s(s(0))))))\n\nT211 is ground\nT212 is ground\nT213 is ground\nT226 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
132 [label="132: notEq(T212, T226)\n\nT212 is ground\nT226 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
133 [label="133: noattack(T211, T213, s(s(s(s(0)))))\n\nT211 is ground\nT213 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
134 [label="134: noattack(T211, T213, s(s(s(s(0))))), SCOPE: 14, CLAUSE: 7 | noattack(T211, T213, s(s(s(s(0))))), SCOPE: 14, CLAUSE: 8\n\nT211 is ground\nT213 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
135 [label="135: noattack(T211, T213, s(s(s(s(0))))), SCOPE: 14, CLAUSE: 7\n\nT211 is ground\nT213 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: noattack(T211, T213, s(s(s(s(0))))), SCOPE: 14, CLAUSE: 8\n\nT211 is ground\nT213 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
137 [label="137: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
138 [label="138: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
140 [label="140: ','(notEq(T244, T245), ','(add(T245, s(s(s(s(0)))), X434), ','(notEq(T244, X434), ','(add(T244, s(s(s(s(0)))), X435), ','(notEq(T245, X435), noattack(T244, T246, s(s(s(s(s(0)))))))))))\n\nT244 is ground\nT245 is ground\nT246 is ground\nX434 is free; \nX435 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
141 [label="141: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: notEq(T244, T245)\n\nT244 is ground\nT245 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
143 [label="143: ','(add(T245, s(s(s(s(0)))), X434), ','(notEq(T244, X434), ','(add(T244, s(s(s(s(0)))), X435), ','(notEq(T245, X435), noattack(T244, T246, s(s(s(s(s(0))))))))))\n\nT244 is ground\nT245 is ground\nT246 is ground\nX434 is free; \nX435 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: add(T245, s(s(s(s(0)))), X434)\n\nT245 is ground\nX434 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
145 [label="145: ','(notEq(T244, T251), ','(add(T244, s(s(s(s(0)))), X435), ','(notEq(T245, X435), noattack(T244, T246, s(s(s(s(s(0)))))))))\n\nT244 is ground\nT245 is ground\nT246 is ground\nT251 is ground\nX435 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: add(T245, s(s(s(s(0)))), X434), SCOPE: 15, CLAUSE: 9 | add(T245, s(s(s(s(0)))), X434), SCOPE: 15, CLAUSE: 10\n\nT245 is ground\nX434 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
147 [label="147: add(T245, s(s(s(s(0)))), X434), SCOPE: 15, CLAUSE: 9\n\nT245 is ground\nX434 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
148 [label="148: add(T245, s(s(s(s(0)))), X434), SCOPE: 15, CLAUSE: 10\n\nT245 is ground\nX434 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
150 [label="150: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
152 [label="152: add(T254, s(s(s(s(0)))), X465)\n\nT254 is ground\nX465 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
154 [label="154: notEq(T244, T251)\n\nT244 is ground\nT251 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: ','(add(T244, s(s(s(s(0)))), X435), ','(notEq(T245, X435), noattack(T244, T246, s(s(s(s(s(0))))))))\n\nT244 is ground\nT245 is ground\nT246 is ground\nX435 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: add(T244, s(s(s(s(0)))), X435)\n\nT244 is ground\nX435 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: ','(notEq(T245, T259), noattack(T244, T246, s(s(s(s(s(0)))))))\n\nT244 is ground\nT245 is ground\nT246 is ground\nT259 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: notEq(T245, T259)\n\nT245 is ground\nT259 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: noattack(T244, T246, s(s(s(s(s(0))))))\n\nT244 is ground\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
160 [label="160: noattack(T244, T246, s(s(s(s(s(0)))))), SCOPE: 16, CLAUSE: 7 | noattack(T244, T246, s(s(s(s(s(0)))))), SCOPE: 16, CLAUSE: 8\n\nT244 is ground\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: noattack(T244, T246, s(s(s(s(s(0)))))), SCOPE: 16, CLAUSE: 7\n\nT244 is ground\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
162 [label="162: noattack(T244, T246, s(s(s(s(s(0)))))), SCOPE: 16, CLAUSE: 8\n\nT244 is ground\nT246 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
163 [label="163: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
164 [label="164: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
165 [label="165: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
166 [label="166: ','(notEq(T277, T278), ','(add(T278, s(s(s(s(s(0))))), X513), ','(notEq(T277, X513), ','(add(T277, s(s(s(s(s(0))))), X514), ','(notEq(T278, X514), noattack(T277, T279, s(s(s(s(s(s(0))))))))))))\n\nT277 is ground\nT278 is ground\nT279 is ground\nX513 is free; \nX514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
167 [label="167: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
168 [label="168: notEq(T277, T278)\n\nT277 is ground\nT278 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
169 [label="169: ','(add(T278, s(s(s(s(s(0))))), X513), ','(notEq(T277, X513), ','(add(T277, s(s(s(s(s(0))))), X514), ','(notEq(T278, X514), noattack(T277, T279, s(s(s(s(s(s(0)))))))))))\n\nT277 is ground\nT278 is ground\nT279 is ground\nX513 is free; \nX514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
170 [label="170: add(T278, s(s(s(s(s(0))))), X513)\n\nT278 is ground\nX513 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
171 [label="171: ','(notEq(T277, T284), ','(add(T277, s(s(s(s(s(0))))), X514), ','(notEq(T278, X514), noattack(T277, T279, s(s(s(s(s(s(0))))))))))\n\nT277 is ground\nT278 is ground\nT279 is ground\nT284 is ground\nX514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
172 [label="172: add(T278, s(s(s(s(s(0))))), X513), SCOPE: 17, CLAUSE: 9 | add(T278, s(s(s(s(s(0))))), X513), SCOPE: 17, CLAUSE: 10\n\nT278 is ground\nX513 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
173 [label="173: add(T278, s(s(s(s(s(0))))), X513), SCOPE: 17, CLAUSE: 9\n\nT278 is ground\nX513 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
174 [label="174: add(T278, s(s(s(s(s(0))))), X513), SCOPE: 17, CLAUSE: 10\n\nT278 is ground\nX513 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
175 [label="175: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
176 [label="176: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
177 [label="177: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: add(T287, s(s(s(s(s(0))))), X544)\n\nT287 is ground\nX544 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
179 [label="179: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: notEq(T277, T284)\n\nT277 is ground\nT284 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
181 [label="181: ','(add(T277, s(s(s(s(s(0))))), X514), ','(notEq(T278, X514), noattack(T277, T279, s(s(s(s(s(s(0)))))))))\n\nT277 is ground\nT278 is ground\nT279 is ground\nX514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
182 [label="182: add(T277, s(s(s(s(s(0))))), X514)\n\nT277 is ground\nX514 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
183 [label="183: ','(notEq(T278, T292), noattack(T277, T279, s(s(s(s(s(s(0))))))))\n\nT277 is ground\nT278 is ground\nT279 is ground\nT292 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
184 [label="184: notEq(T278, T292)\n\nT278 is ground\nT292 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
185 [label="185: noattack(T277, T279, s(s(s(s(s(s(0)))))))\n\nT277 is ground\nT279 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
186 [label="186: noattack(T277, T279, s(s(s(s(s(s(0))))))), SCOPE: 18, CLAUSE: 7 | noattack(T277, T279, s(s(s(s(s(s(0))))))), SCOPE: 18, CLAUSE: 8\n\nT277 is ground\nT279 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
187 [label="187: noattack(T277, T279, s(s(s(s(s(s(0))))))), SCOPE: 18, CLAUSE: 7\n\nT277 is ground\nT279 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
188 [label="188: noattack(T277, T279, s(s(s(s(s(s(0))))))), SCOPE: 18, CLAUSE: 8\n\nT277 is ground\nT279 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
189 [label="189: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
190 [label="190: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
191 [label="191: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="192: ','(notEq(T310, T311), ','(add(T311, s(s(s(s(s(s(0)))))), X592), ','(notEq(T310, X592), ','(add(T310, s(s(s(s(s(s(0)))))), X593), ','(notEq(T311, X593), noattack(T310, T312, s(s(s(s(s(s(s(0)))))))))))))\n\nT310 is ground\nT311 is ground\nT312 is ground\nX592 is free; \nX593 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
193 [label="193: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
194 [label="194: notEq(T310, T311)\n\nT310 is ground\nT311 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
195 [label="195: ','(add(T311, s(s(s(s(s(s(0)))))), X592), ','(notEq(T310, X592), ','(add(T310, s(s(s(s(s(s(0)))))), X593), ','(notEq(T311, X593), noattack(T310, T312, s(s(s(s(s(s(s(0))))))))))))\n\nT310 is ground\nT311 is ground\nT312 is ground\nX592 is free; \nX593 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
196 [label="196: add(T311, s(s(s(s(s(s(0)))))), X592)\n\nT311 is ground\nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: ','(notEq(T310, T317), ','(add(T310, s(s(s(s(s(s(0)))))), X593), ','(notEq(T311, X593), noattack(T310, T312, s(s(s(s(s(s(s(0)))))))))))\n\nT310 is ground\nT311 is ground\nT312 is ground\nT317 is ground\nX593 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
198 [label="198: add(T311, s(s(s(s(s(s(0)))))), X592), SCOPE: 19, CLAUSE: 9 | add(T311, s(s(s(s(s(s(0)))))), X592), SCOPE: 19, CLAUSE: 10\n\nT311 is ground\nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
199 [label="199: add(T311, s(s(s(s(s(s(0)))))), X592), SCOPE: 19, CLAUSE: 9\n\nT311 is ground\nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: add(T311, s(s(s(s(s(s(0)))))), X592), SCOPE: 19, CLAUSE: 10\n\nT311 is ground\nX592 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
201 [label="201: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
202 [label="202: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
203 [label="203: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: add(T320, s(s(s(s(s(s(0)))))), X623)\n\nT320 is ground\nX623 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
206 [label="206: notEq(T310, T317)\n\nT310 is ground\nT317 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
207 [label="207: ','(add(T310, s(s(s(s(s(s(0)))))), X593), ','(notEq(T311, X593), noattack(T310, T312, s(s(s(s(s(s(s(0))))))))))\n\nT310 is ground\nT311 is ground\nT312 is ground\nX593 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
208 [label="208: add(T310, s(s(s(s(s(s(0)))))), X593)\n\nT310 is ground\nX593 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
209 [label="209: ','(notEq(T311, T325), noattack(T310, T312, s(s(s(s(s(s(s(0)))))))))\n\nT310 is ground\nT311 is ground\nT312 is ground\nT325 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
210 [label="210: notEq(T311, T325)\n\nT311 is ground\nT325 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
211 [label="211: noattack(T310, T312, s(s(s(s(s(s(s(0))))))))\n\nT310 is ground\nT312 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
212 [label="212: noattack(T310, T312, s(s(s(s(s(s(s(0)))))))), SCOPE: 20, CLAUSE: 7 | noattack(T310, T312, s(s(s(s(s(s(s(0)))))))), SCOPE: 20, CLAUSE: 8\n\nT310 is ground\nT312 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
213 [label="213: noattack(T310, T312, s(s(s(s(s(s(s(0)))))))), SCOPE: 20, CLAUSE: 7\n\nT310 is ground\nT312 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
214 [label="214: noattack(T310, T312, s(s(s(s(s(s(s(0)))))))), SCOPE: 20, CLAUSE: 8\n\nT310 is ground\nT312 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
215 [label="215: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
216 [label="216: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
217 [label="217: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
218 [label="218: ','(notEq(T343, T344), ','(add(T344, s(s(s(s(s(s(s(0))))))), X671), ','(notEq(T343, X671), ','(add(T343, s(s(s(s(s(s(s(0))))))), X672), ','(notEq(T344, X672), noattack(T343, T345, s(s(s(s(s(s(s(s(0))))))))))))))\n\nT343 is ground\nT344 is ground\nT345 is ground\nX671 is free; \nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
219 [label="219: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
220 [label="220: ','(notEq(T343, T344), ','(add(T344, s(s(s(s(s(s(s(0))))))), X671), ','(notEq(T343, X671), ','(add(T343, s(s(s(s(s(s(s(0))))))), X672), ','(notEq(T344, X672), noattack(T343, T345, s(T348)))))))\n\nT343 is ground\nT344 is ground\nT345 is ground\nT348 is ground\nX671 is free; \nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
221 [label="221: notEq(T343, T344)\n\nT343 is ground\nT344 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
222 [label="222: ','(add(T344, s(s(s(s(s(s(s(0))))))), X671), ','(notEq(T343, X671), ','(add(T343, s(s(s(s(s(s(s(0))))))), X672), ','(notEq(T344, X672), noattack(T343, T345, s(T348))))))\n\nT343 is ground\nT344 is ground\nT345 is ground\nT348 is ground\nX671 is free; \nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
223 [label="223: add(T344, s(s(s(s(s(s(s(0))))))), X671)\n\nT344 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
224 [label="224: ','(notEq(T343, T353), ','(add(T343, s(s(s(s(s(s(s(0))))))), X672), ','(notEq(T344, X672), noattack(T343, T345, s(T348)))))\n\nT343 is ground\nT344 is ground\nT345 is ground\nT348 is ground\nT353 is ground\nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
225 [label="225: add(T344, s(s(s(s(s(s(s(0))))))), X671), SCOPE: 21, CLAUSE: 9 | add(T344, s(s(s(s(s(s(s(0))))))), X671), SCOPE: 21, CLAUSE: 10\n\nT344 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
226 [label="226: add(T344, s(s(s(s(s(s(s(0))))))), X671), SCOPE: 21, CLAUSE: 9\n\nT344 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
227 [label="227: add(T344, s(s(s(s(s(s(s(0))))))), X671), SCOPE: 21, CLAUSE: 10\n\nT344 is ground\nX671 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
228 [label="228: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
229 [label="229: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="230: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
231 [label="231: add(T356, s(s(s(s(s(s(s(0))))))), X704)\n\nT356 is ground\nX704 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
232 [label="232: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: notEq(T343, T353)\n\nT343 is ground\nT353 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
234 [label="234: ','(add(T343, s(s(s(s(s(s(s(0))))))), X672), ','(notEq(T344, X672), noattack(T343, T345, s(T348))))\n\nT343 is ground\nT344 is ground\nT345 is ground\nT348 is ground\nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
235 [label="235: add(T343, s(s(s(s(s(s(s(0))))))), X672)\n\nT343 is ground\nX672 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: ','(notEq(T344, T361), noattack(T343, T345, s(T348)))\n\nT343 is ground\nT344 is ground\nT345 is ground\nT348 is ground\nT361 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: notEq(T344, T361)\n\nT344 is ground\nT361 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
238 [label="238: noattack(T343, T345, s(T348))\n\nT343 is ground\nT345 is ground\nT348 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
239 [label="239: noattack(T343, T345, s(T348)), SCOPE: 22, CLAUSE: 7 | noattack(T343, T345, s(T348)), SCOPE: 22, CLAUSE: 8\n\nT343 is ground\nT345 is ground\nT348 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
240 [label="240: noattack(T343, T345, s(T348)), SCOPE: 22, CLAUSE: 7\n\nT343 is ground\nT345 is ground\nT348 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
241 [label="241: noattack(T343, T345, s(T348)), SCOPE: 22, CLAUSE: 8\n\nT343 is ground\nT345 is ground\nT348 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
242 [label="242: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
243 [label="243: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
244 [label="244: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
245 [label="245: ','(notEq(T388, T389), ','(add(T389, s(T391), X752), ','(notEq(T388, X752), ','(add(T388, s(T391), X753), ','(notEq(T389, X753), noattack(T388, T390, s(s(T391))))))))\n\nT388 is ground\nT389 is ground\nT390 is ground\nT391 is ground\nX752 is free; \nX753 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
246 [label="246: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
247 [label="247: notEq(T388, T389)\n\nT388 is ground\nT389 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
248 [label="248: ','(add(T389, s(T391), X752), ','(notEq(T388, X752), ','(add(T388, s(T391), X753), ','(notEq(T389, X753), noattack(T388, T390, s(s(T391)))))))\n\nT388 is ground\nT389 is ground\nT390 is ground\nT391 is ground\nX752 is free; \nX753 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
249 [label="249: add(T389, s(T391), X752)\n\nT389 is ground\nT391 is ground\nX752 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
250 [label="250: ','(notEq(T388, T398), ','(add(T388, s(T391), X753), ','(notEq(T389, X753), noattack(T388, T390, s(s(T391))))))\n\nT388 is ground\nT389 is ground\nT390 is ground\nT391 is ground\nT398 is ground\nX753 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
251 [label="251: add(T389, s(T391), X752), SCOPE: 23, CLAUSE: 9 | add(T389, s(T391), X752), SCOPE: 23, CLAUSE: 10\n\nT389 is ground\nT391 is ground\nX752 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
252 [label="252: add(T389, s(T391), X752), SCOPE: 23, CLAUSE: 9\n\nT389 is ground\nT391 is ground\nX752 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
253 [label="253: add(T389, s(T391), X752), SCOPE: 23, CLAUSE: 10\n\nT389 is ground\nT391 is ground\nX752 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
254 [label="254: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
256 [label="256: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
257 [label="257: add(T410, s(T411), X783)\n\nT410 is ground\nT411 is ground\nX783 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
258 [label="258: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
259 [label="259: notEq(T388, T398)\n\nT388 is ground\nT398 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
260 [label="260: ','(add(T388, s(T391), X753), ','(notEq(T389, X753), noattack(T388, T390, s(s(T391)))))\n\nT388 is ground\nT389 is ground\nT390 is ground\nT391 is ground\nX753 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
261 [label="261: add(T388, s(T391), X753)\n\nT388 is ground\nT391 is ground\nX753 is free; ", fontsize=16, style=filled, fillcolor=lightyellow];
262 [label="262: ','(notEq(T389, T420), noattack(T388, T390, s(s(T391))))\n\nT388 is ground\nT389 is ground\nT390 is ground\nT391 is ground\nT420 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
263 [label="263: safe(T111), SCOPE: 24, CLAUSE: 5 | safe(T111), SCOPE: 24, CLAUSE: 6\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: safe(T111), SCOPE: 24, CLAUSE: 5\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
265 [label="265: safe(T111), SCOPE: 24, CLAUSE: 6\n\nT111 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
266 [label="266: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
269 [label="269: ','(noattack(T429, T430, s(0)), safe(T430))\n\nT429 is ground\nT430 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
270 [label="270: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
271 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1 -> 271 [arrowhead = none ];
271 -> 2;

272 [label="ONLY EVAL with clause\nqueens(X2) :- ','(perm(.(s(0), .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))), X2), safe(X2)).\nand substitution\nT1 -> T4\nX2 -> T4\nT3 -> T4", fontsize=14, style = filled, fillcolor = white];
2 -> 272 [arrowhead = none ];
272 -> 3;

273 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
3 -> 273 [arrowhead = none ];
273 -> 4;

274 [label="BACKTRACK\nfor clause: perm([], [])because of non-unification", fontsize=14, style = filled, fillcolor = white];
4 -> 274 [arrowhead = none ];
274 -> 5;

275 [label="EVAL with clause\nperm(.(X12, X13), .(X14, X15)) :- ','(delete(X14, .(X12, X13), X16), perm(X16, X15)).\nand substitution\nX12 -> s(0)\nX13 -> .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))\nX14 -> T11\nX15 -> T12\nT4 -> .(T11, T12)\nT9 -> T11\nT10 -> T12", fontsize=14, style = filled, fillcolor = lightblue];
5 -> 275 [arrowhead = none ];
275 -> 6;

276 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
5 -> 276 [arrowhead = none ];
276 -> 7;

277 [label="GENERALIZATION\nT15 <-- .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), [])))))))\n\nNew Knowledge:\nT15 is ground", fontsize=14, style = filled, fillcolor = violet];
6 -> 277 [arrowhead = none ];
277 -> 8;

278 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
8 -> 278 [arrowhead = none ];
278 -> 9;

279 [label="SPLIT 2\nnew knowledge:\nT22 is ground\nT20 is ground\nreplacements:\nX16 -> T20\nT12 -> T21\nT11 -> T22", fontsize=14, style = filled, fillcolor = violet];
8 -> 279 [arrowhead = none ];
279 -> 10;

280 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
9 -> 280 [arrowhead = none ];
280 -> 11;

281 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
10 -> 281 [arrowhead = none ];
281 -> 26;

282 [label="SPLIT 2\nnew knowledge:\nT77 is ground\nreplacements:\nT21 -> T77", fontsize=14, style = filled, fillcolor = violet];
10 -> 282 [arrowhead = none ];
282 -> 27;

283 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
11 -> 283 [arrowhead = none ];
283 -> 12;

284 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
11 -> 284 [arrowhead = none ];
284 -> 13;

285 [label="EVAL with clause\ndelete(X41, .(X41, X42), X42).\nand substitution\nT11 -> s(0)\nX41 -> s(0)\nT35 -> s(0)\nT15 -> T36\nX42 -> T36\nX16 -> T36", fontsize=14, style = filled, fillcolor = lightblue];
12 -> 285 [arrowhead = none ];
285 -> 14;

286 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
12 -> 286 [arrowhead = none ];
286 -> 15;

287 [label="ONLY EVAL with clause\ndelete(X59, .(X60, X61), .(X60, X62)) :- delete(X59, X61, X62).\nand substitution\nT11 -> T48\nX59 -> T48\nX60 -> s(0)\nT15 -> T47\nX61 -> T47\nX62 -> X63\nX16 -> .(s(0), X63)\nT46 -> T48", fontsize=14, style = filled, fillcolor = white];
13 -> 287 [arrowhead = none ];
287 -> 17;

288 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
14 -> 288 [arrowhead = none ];
288 -> 16;

289 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
17 -> 289 [arrowhead = none ];
289 -> 18;

290 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 290 [arrowhead = none ];
290 -> 19;

291 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
18 -> 291 [arrowhead = none ];
291 -> 20;

292 [label="EVAL with clause\ndelete(X76, .(X76, X77), X77).\nand substitution\nT48 -> T61\nX76 -> T61\nX77 -> T62\nT47 -> .(T61, T62)\nX63 -> T62", fontsize=14, style = filled, fillcolor = lightblue];
19 -> 292 [arrowhead = none ];
292 -> 21;

293 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
19 -> 293 [arrowhead = none ];
293 -> 22;

294 [label="EVAL with clause\ndelete(X90, .(X91, X92), .(X91, X93)) :- delete(X90, X92, X93).\nand substitution\nT48 -> T72\nX90 -> T72\nX91 -> T70\nX92 -> T71\nT47 -> .(T70, T71)\nX93 -> X94\nX63 -> .(T70, X94)\nT69 -> T72", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 294 [arrowhead = none ];
294 -> 24;

295 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
20 -> 295 [arrowhead = none ];
295 -> 25;

296 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
21 -> 296 [arrowhead = none ];
296 -> 23;

297 [label="INSTANCE with matching:\nT48 -> T72\nT47 -> T71\nX63 -> X94", fontsize=14, style = filled, fillcolor = lightgrey];
24 -> 297 [arrowhead = none , style=dashed];
297 -> 17[style=dashed];

298 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
26 -> 298 [arrowhead = none ];
298 -> 28;

299 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
27 -> 299 [arrowhead = none ];
299 -> 38;

300 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
28 -> 300 [arrowhead = none ];
300 -> 29;

301 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
28 -> 301 [arrowhead = none ];
301 -> 30;

302 [label="EVAL with clause\nperm([], []).\nand substitution\nT20 -> []\nT21 -> []", fontsize=14, style = filled, fillcolor = lightblue];
29 -> 302 [arrowhead = none ];
302 -> 31;

303 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
29 -> 303 [arrowhead = none ];
303 -> 32;

304 [label="EVAL with clause\nperm(.(X112, X113), .(X114, X115)) :- ','(delete(X114, .(X112, X113), X116), perm(X116, X115)).\nand substitution\nX112 -> T86\nX113 -> T87\nT20 -> .(T86, T87)\nX114 -> T90\nX115 -> T91\nT21 -> .(T90, T91)\nT88 -> T90\nT89 -> T91", fontsize=14, style = filled, fillcolor = lightblue];
30 -> 304 [arrowhead = none ];
304 -> 34;

305 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
30 -> 305 [arrowhead = none ];
305 -> 35;

306 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
31 -> 306 [arrowhead = none ];
306 -> 33;

307 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
34 -> 307 [arrowhead = none ];
307 -> 36;

308 [label="SPLIT 2\nnew knowledge:\nT90 is ground\nT96 is ground\nreplacements:\nX116 -> T96\nT91 -> T97", fontsize=14, style = filled, fillcolor = violet];
34 -> 308 [arrowhead = none ];
308 -> 37;

309 [label="INSTANCE with matching:\nT48 -> T90\nT47 -> .(T86, T87)\nX63 -> X116", fontsize=14, style = filled, fillcolor = lightgrey];
36 -> 309 [arrowhead = none , style=dashed];
309 -> 17[style=dashed];

310 [label="INSTANCE with matching:\nT20 -> T96\nT21 -> T97", fontsize=14, style = filled, fillcolor = lightgrey];
37 -> 310 [arrowhead = none , style=dashed];
310 -> 26[style=dashed];

311 [label="BACKTRACK\nfor clause: safe([])because of non-unification", fontsize=14, style = filled, fillcolor = white];
38 -> 311 [arrowhead = none ];
311 -> 39;

312 [label="ONLY EVAL with clause\nsafe(.(X139, X140)) :- ','(noattack(X139, X140, s(0)), safe(X140)).\nand substitution\nT22 -> T110\nX139 -> T110\nT77 -> T111\nX140 -> T111", fontsize=14, style = filled, fillcolor = white];
39 -> 312 [arrowhead = none ];
312 -> 40;

313 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
40 -> 313 [arrowhead = none ];
313 -> 41;

314 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
40 -> 314 [arrowhead = none ];
314 -> 42;

315 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
41 -> 315 [arrowhead = none ];
315 -> 43;

316 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
42 -> 316 [arrowhead = none ];
316 -> 263;

317 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 317 [arrowhead = none ];
317 -> 44;

318 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
43 -> 318 [arrowhead = none ];
318 -> 45;

319 [label="EVAL with clause\nnoattack(X157, [], X158).\nand substitution\nT110 -> T120\nX157 -> T120\nT111 -> []\nX158 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
44 -> 319 [arrowhead = none ];
319 -> 46;

320 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
44 -> 320 [arrowhead = none ];
320 -> 47;

321 [label="EVAL with clause\nnoattack(X171, .(X172, X173), X174) :- ','(notEq(X171, X172), ','(add(X172, X174, X175), ','(notEq(X171, X175), ','(add(X171, X174, X176), ','(notEq(X172, X176), noattack(X171, X173, s(X174))))))).\nand substitution\nT110 -> T127\nX171 -> T127\nX172 -> T128\nX173 -> T129\nT111 -> .(T128, T129)\nX174 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 321 [arrowhead = none ];
321 -> 49;

322 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
45 -> 322 [arrowhead = none ];
322 -> 50;

323 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
46 -> 323 [arrowhead = none ];
323 -> 48;

324 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
49 -> 324 [arrowhead = none ];
324 -> 51;

325 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
49 -> 325 [arrowhead = none ];
325 -> 52;

326 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
51 -> 326 [arrowhead = none ];
326 -> 53;

327 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
52 -> 327 [arrowhead = none ];
327 -> 66;

328 [label="SPLIT 2\nnew knowledge:\nT152 is ground\nreplacements:\nX175 -> T152", fontsize=14, style = filled, fillcolor = violet];
52 -> 328 [arrowhead = none ];
328 -> 67;

329 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
53 -> 329 [arrowhead = none ];
329 -> 54;

330 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
53 -> 330 [arrowhead = none ];
330 -> 55;

331 [label="EVAL with clause\nnotEq(0, s(X189)).\nand substitution\nT127 -> 0\nX189 -> T138\nT128 -> s(T138)", fontsize=14, style = filled, fillcolor = lightblue];
54 -> 331 [arrowhead = none ];
331 -> 56;

332 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
54 -> 332 [arrowhead = none ];
332 -> 57;

333 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
55 -> 333 [arrowhead = none ];
333 -> 59;

334 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
55 -> 334 [arrowhead = none ];
334 -> 60;

335 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
56 -> 335 [arrowhead = none ];
335 -> 58;

336 [label="EVAL with clause\nnotEq(s(X195), 0).\nand substitution\nX195 -> T143\nT127 -> s(T143)\nT128 -> 0", fontsize=14, style = filled, fillcolor = lightblue];
59 -> 336 [arrowhead = none ];
336 -> 61;

337 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
59 -> 337 [arrowhead = none ];
337 -> 62;

338 [label="EVAL with clause\nnotEq(s(X201), s(X202)) :- notEq(X201, X202).\nand substitution\nX201 -> T148\nT127 -> s(T148)\nX202 -> T149\nT128 -> s(T149)", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 338 [arrowhead = none ];
338 -> 64;

339 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 339 [arrowhead = none ];
339 -> 65;

340 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
61 -> 340 [arrowhead = none ];
340 -> 63;

341 [label="INSTANCE with matching:\nT127 -> T148\nT128 -> T149", fontsize=14, style = filled, fillcolor = lightgrey];
64 -> 341 [arrowhead = none , style=dashed];
341 -> 51[style=dashed];

342 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
66 -> 342 [arrowhead = none ];
342 -> 68;

343 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
67 -> 343 [arrowhead = none ];
343 -> 76;

344 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
67 -> 344 [arrowhead = none ];
344 -> 77;

345 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
68 -> 345 [arrowhead = none ];
345 -> 69;

346 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
68 -> 346 [arrowhead = none ];
346 -> 70;

347 [label="EVAL with clause\nadd(0, X215, X215).\nand substitution\nT128 -> 0\nX215 -> s(0)\nX175 -> s(0)", fontsize=14, style = filled, fillcolor = lightblue];
69 -> 347 [arrowhead = none ];
347 -> 71;

348 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
69 -> 348 [arrowhead = none ];
348 -> 72;

349 [label="EVAL with clause\nadd(s(X225), X226, s(X227)) :- add(X225, X226, X227).\nand substitution\nX225 -> T155\nT128 -> s(T155)\nX226 -> s(0)\nX227 -> X228\nX175 -> s(X228)", fontsize=14, style = filled, fillcolor = lightblue];
70 -> 349 [arrowhead = none ];
349 -> 74;

350 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
70 -> 350 [arrowhead = none ];
350 -> 75;

351 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
71 -> 351 [arrowhead = none ];
351 -> 73;

352 [label="INSTANCE with matching:\nT128 -> T155\nX175 -> X228", fontsize=14, style = filled, fillcolor = lightgrey];
74 -> 352 [arrowhead = none , style=dashed];
352 -> 66[style=dashed];

353 [label="INSTANCE with matching:\nT128 -> T152", fontsize=14, style = filled, fillcolor = lightgrey];
76 -> 353 [arrowhead = none , style=dashed];
353 -> 51[style=dashed];

354 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
77 -> 354 [arrowhead = none ];
354 -> 78;

355 [label="SPLIT 2\nnew knowledge:\nT160 is ground\nreplacements:\nX176 -> T160", fontsize=14, style = filled, fillcolor = violet];
77 -> 355 [arrowhead = none ];
355 -> 79;

356 [label="INSTANCE with matching:\nT128 -> T127\nX175 -> X176", fontsize=14, style = filled, fillcolor = lightgrey];
78 -> 356 [arrowhead = none , style=dashed];
356 -> 66[style=dashed];

357 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
79 -> 357 [arrowhead = none ];
357 -> 80;

358 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
79 -> 358 [arrowhead = none ];
358 -> 81;

359 [label="INSTANCE with matching:\nT127 -> T128\nT128 -> T160", fontsize=14, style = filled, fillcolor = lightgrey];
80 -> 359 [arrowhead = none , style=dashed];
359 -> 51[style=dashed];

360 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
81 -> 360 [arrowhead = none ];
360 -> 82;

361 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
82 -> 361 [arrowhead = none ];
361 -> 83;

362 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
82 -> 362 [arrowhead = none ];
362 -> 84;

363 [label="EVAL with clause\nnoattack(X258, [], X259).\nand substitution\nT127 -> T171\nX258 -> T171\nT129 -> []\nX259 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
83 -> 363 [arrowhead = none ];
363 -> 85;

364 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
83 -> 364 [arrowhead = none ];
364 -> 86;

365 [label="EVAL with clause\nnoattack(X272, .(X273, X274), X275) :- ','(notEq(X272, X273), ','(add(X273, X275, X276), ','(notEq(X272, X276), ','(add(X272, X275, X277), ','(notEq(X273, X277), noattack(X272, X274, s(X275))))))).\nand substitution\nT127 -> T178\nX272 -> T178\nX273 -> T179\nX274 -> T180\nT129 -> .(T179, T180)\nX275 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
84 -> 365 [arrowhead = none ];
365 -> 88;

366 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
84 -> 366 [arrowhead = none ];
366 -> 89;

367 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
85 -> 367 [arrowhead = none ];
367 -> 87;

368 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
88 -> 368 [arrowhead = none ];
368 -> 90;

369 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
88 -> 369 [arrowhead = none ];
369 -> 91;

370 [label="INSTANCE with matching:\nT127 -> T178\nT128 -> T179", fontsize=14, style = filled, fillcolor = lightgrey];
90 -> 370 [arrowhead = none , style=dashed];
370 -> 51[style=dashed];

371 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
91 -> 371 [arrowhead = none ];
371 -> 92;

372 [label="SPLIT 2\nnew knowledge:\nT185 is ground\nreplacements:\nX276 -> T185", fontsize=14, style = filled, fillcolor = violet];
91 -> 372 [arrowhead = none ];
372 -> 93;

373 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
92 -> 373 [arrowhead = none ];
373 -> 94;

374 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
93 -> 374 [arrowhead = none ];
374 -> 102;

375 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
93 -> 375 [arrowhead = none ];
375 -> 103;

376 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
94 -> 376 [arrowhead = none ];
376 -> 95;

377 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
94 -> 377 [arrowhead = none ];
377 -> 96;

378 [label="EVAL with clause\nadd(0, X294, X294).\nand substitution\nT179 -> 0\nX294 -> s(s(0))\nX276 -> s(s(0))", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 378 [arrowhead = none ];
378 -> 97;

379 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 379 [arrowhead = none ];
379 -> 98;

380 [label="EVAL with clause\nadd(s(X304), X305, s(X306)) :- add(X304, X305, X306).\nand substitution\nX304 -> T188\nT179 -> s(T188)\nX305 -> s(s(0))\nX306 -> X307\nX276 -> s(X307)", fontsize=14, style = filled, fillcolor = lightblue];
96 -> 380 [arrowhead = none ];
380 -> 100;

381 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
96 -> 381 [arrowhead = none ];
381 -> 101;

382 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
97 -> 382 [arrowhead = none ];
382 -> 99;

383 [label="INSTANCE with matching:\nT179 -> T188\nX276 -> X307", fontsize=14, style = filled, fillcolor = lightgrey];
100 -> 383 [arrowhead = none , style=dashed];
383 -> 92[style=dashed];

384 [label="INSTANCE with matching:\nT127 -> T178\nT128 -> T185", fontsize=14, style = filled, fillcolor = lightgrey];
102 -> 384 [arrowhead = none , style=dashed];
384 -> 51[style=dashed];

385 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
103 -> 385 [arrowhead = none ];
385 -> 104;

386 [label="SPLIT 2\nnew knowledge:\nT193 is ground\nreplacements:\nX277 -> T193", fontsize=14, style = filled, fillcolor = violet];
103 -> 386 [arrowhead = none ];
386 -> 105;

387 [label="INSTANCE with matching:\nT179 -> T178\nX276 -> X277", fontsize=14, style = filled, fillcolor = lightgrey];
104 -> 387 [arrowhead = none , style=dashed];
387 -> 92[style=dashed];

388 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
105 -> 388 [arrowhead = none ];
388 -> 106;

389 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
105 -> 389 [arrowhead = none ];
389 -> 107;

390 [label="INSTANCE with matching:\nT127 -> T179\nT128 -> T193", fontsize=14, style = filled, fillcolor = lightgrey];
106 -> 390 [arrowhead = none , style=dashed];
390 -> 51[style=dashed];

391 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
107 -> 391 [arrowhead = none ];
391 -> 108;

392 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
108 -> 392 [arrowhead = none ];
392 -> 109;

393 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
108 -> 393 [arrowhead = none ];
393 -> 110;

394 [label="EVAL with clause\nnoattack(X337, [], X338).\nand substitution\nT178 -> T204\nX337 -> T204\nT180 -> []\nX338 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
109 -> 394 [arrowhead = none ];
394 -> 111;

395 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
109 -> 395 [arrowhead = none ];
395 -> 112;

396 [label="EVAL with clause\nnoattack(X351, .(X352, X353), X354) :- ','(notEq(X351, X352), ','(add(X352, X354, X355), ','(notEq(X351, X355), ','(add(X351, X354, X356), ','(notEq(X352, X356), noattack(X351, X353, s(X354))))))).\nand substitution\nT178 -> T211\nX351 -> T211\nX352 -> T212\nX353 -> T213\nT180 -> .(T212, T213)\nX354 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
110 -> 396 [arrowhead = none ];
396 -> 114;

397 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
110 -> 397 [arrowhead = none ];
397 -> 115;

398 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
111 -> 398 [arrowhead = none ];
398 -> 113;

399 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
114 -> 399 [arrowhead = none ];
399 -> 116;

400 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
114 -> 400 [arrowhead = none ];
400 -> 117;

401 [label="INSTANCE with matching:\nT127 -> T211\nT128 -> T212", fontsize=14, style = filled, fillcolor = lightgrey];
116 -> 401 [arrowhead = none , style=dashed];
401 -> 51[style=dashed];

402 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
117 -> 402 [arrowhead = none ];
402 -> 118;

403 [label="SPLIT 2\nnew knowledge:\nT218 is ground\nreplacements:\nX355 -> T218", fontsize=14, style = filled, fillcolor = violet];
117 -> 403 [arrowhead = none ];
403 -> 119;

404 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
118 -> 404 [arrowhead = none ];
404 -> 120;

405 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
119 -> 405 [arrowhead = none ];
405 -> 128;

406 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
119 -> 406 [arrowhead = none ];
406 -> 129;

407 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
120 -> 407 [arrowhead = none ];
407 -> 121;

408 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
120 -> 408 [arrowhead = none ];
408 -> 122;

409 [label="EVAL with clause\nadd(0, X373, X373).\nand substitution\nT212 -> 0\nX373 -> s(s(s(0)))\nX355 -> s(s(s(0)))", fontsize=14, style = filled, fillcolor = lightblue];
121 -> 409 [arrowhead = none ];
409 -> 123;

410 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
121 -> 410 [arrowhead = none ];
410 -> 124;

411 [label="EVAL with clause\nadd(s(X383), X384, s(X385)) :- add(X383, X384, X385).\nand substitution\nX383 -> T221\nT212 -> s(T221)\nX384 -> s(s(s(0)))\nX385 -> X386\nX355 -> s(X386)", fontsize=14, style = filled, fillcolor = lightblue];
122 -> 411 [arrowhead = none ];
411 -> 126;

412 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
122 -> 412 [arrowhead = none ];
412 -> 127;

413 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
123 -> 413 [arrowhead = none ];
413 -> 125;

414 [label="INSTANCE with matching:\nT212 -> T221\nX355 -> X386", fontsize=14, style = filled, fillcolor = lightgrey];
126 -> 414 [arrowhead = none , style=dashed];
414 -> 118[style=dashed];

415 [label="INSTANCE with matching:\nT127 -> T211\nT128 -> T218", fontsize=14, style = filled, fillcolor = lightgrey];
128 -> 415 [arrowhead = none , style=dashed];
415 -> 51[style=dashed];

416 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
129 -> 416 [arrowhead = none ];
416 -> 130;

417 [label="SPLIT 2\nnew knowledge:\nT226 is ground\nreplacements:\nX356 -> T226", fontsize=14, style = filled, fillcolor = violet];
129 -> 417 [arrowhead = none ];
417 -> 131;

418 [label="INSTANCE with matching:\nT212 -> T211\nX355 -> X356", fontsize=14, style = filled, fillcolor = lightgrey];
130 -> 418 [arrowhead = none , style=dashed];
418 -> 118[style=dashed];

419 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
131 -> 419 [arrowhead = none ];
419 -> 132;

420 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
131 -> 420 [arrowhead = none ];
420 -> 133;

421 [label="INSTANCE with matching:\nT127 -> T212\nT128 -> T226", fontsize=14, style = filled, fillcolor = lightgrey];
132 -> 421 [arrowhead = none , style=dashed];
421 -> 51[style=dashed];

422 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
133 -> 422 [arrowhead = none ];
422 -> 134;

423 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
134 -> 423 [arrowhead = none ];
423 -> 135;

424 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
134 -> 424 [arrowhead = none ];
424 -> 136;

425 [label="EVAL with clause\nnoattack(X416, [], X417).\nand substitution\nT211 -> T237\nX416 -> T237\nT213 -> []\nX417 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
135 -> 425 [arrowhead = none ];
425 -> 137;

426 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
135 -> 426 [arrowhead = none ];
426 -> 138;

427 [label="EVAL with clause\nnoattack(X430, .(X431, X432), X433) :- ','(notEq(X430, X431), ','(add(X431, X433, X434), ','(notEq(X430, X434), ','(add(X430, X433, X435), ','(notEq(X431, X435), noattack(X430, X432, s(X433))))))).\nand substitution\nT211 -> T244\nX430 -> T244\nX431 -> T245\nX432 -> T246\nT213 -> .(T245, T246)\nX433 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
136 -> 427 [arrowhead = none ];
427 -> 140;

428 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
136 -> 428 [arrowhead = none ];
428 -> 141;

429 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
137 -> 429 [arrowhead = none ];
429 -> 139;

430 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
140 -> 430 [arrowhead = none ];
430 -> 142;

431 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
140 -> 431 [arrowhead = none ];
431 -> 143;

432 [label="INSTANCE with matching:\nT127 -> T244\nT128 -> T245", fontsize=14, style = filled, fillcolor = lightgrey];
142 -> 432 [arrowhead = none , style=dashed];
432 -> 51[style=dashed];

433 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
143 -> 433 [arrowhead = none ];
433 -> 144;

434 [label="SPLIT 2\nnew knowledge:\nT251 is ground\nreplacements:\nX434 -> T251", fontsize=14, style = filled, fillcolor = violet];
143 -> 434 [arrowhead = none ];
434 -> 145;

435 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
144 -> 435 [arrowhead = none ];
435 -> 146;

436 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
145 -> 436 [arrowhead = none ];
436 -> 154;

437 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
145 -> 437 [arrowhead = none ];
437 -> 155;

438 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 438 [arrowhead = none ];
438 -> 147;

439 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 439 [arrowhead = none ];
439 -> 148;

440 [label="EVAL with clause\nadd(0, X452, X452).\nand substitution\nT245 -> 0\nX452 -> s(s(s(s(0))))\nX434 -> s(s(s(s(0))))", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 440 [arrowhead = none ];
440 -> 149;

441 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
147 -> 441 [arrowhead = none ];
441 -> 150;

442 [label="EVAL with clause\nadd(s(X462), X463, s(X464)) :- add(X462, X463, X464).\nand substitution\nX462 -> T254\nT245 -> s(T254)\nX463 -> s(s(s(s(0))))\nX464 -> X465\nX434 -> s(X465)", fontsize=14, style = filled, fillcolor = lightblue];
148 -> 442 [arrowhead = none ];
442 -> 152;

443 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
148 -> 443 [arrowhead = none ];
443 -> 153;

444 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
149 -> 444 [arrowhead = none ];
444 -> 151;

445 [label="INSTANCE with matching:\nT245 -> T254\nX434 -> X465", fontsize=14, style = filled, fillcolor = lightgrey];
152 -> 445 [arrowhead = none , style=dashed];
445 -> 144[style=dashed];

446 [label="INSTANCE with matching:\nT127 -> T244\nT128 -> T251", fontsize=14, style = filled, fillcolor = lightgrey];
154 -> 446 [arrowhead = none , style=dashed];
446 -> 51[style=dashed];

447 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
155 -> 447 [arrowhead = none ];
447 -> 156;

448 [label="SPLIT 2\nnew knowledge:\nT259 is ground\nreplacements:\nX435 -> T259", fontsize=14, style = filled, fillcolor = violet];
155 -> 448 [arrowhead = none ];
448 -> 157;

449 [label="INSTANCE with matching:\nT245 -> T244\nX434 -> X435", fontsize=14, style = filled, fillcolor = lightgrey];
156 -> 449 [arrowhead = none , style=dashed];
449 -> 144[style=dashed];

450 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
157 -> 450 [arrowhead = none ];
450 -> 158;

451 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
157 -> 451 [arrowhead = none ];
451 -> 159;

452 [label="INSTANCE with matching:\nT127 -> T245\nT128 -> T259", fontsize=14, style = filled, fillcolor = lightgrey];
158 -> 452 [arrowhead = none , style=dashed];
452 -> 51[style=dashed];

453 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
159 -> 453 [arrowhead = none ];
453 -> 160;

454 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
160 -> 454 [arrowhead = none ];
454 -> 161;

455 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
160 -> 455 [arrowhead = none ];
455 -> 162;

456 [label="EVAL with clause\nnoattack(X495, [], X496).\nand substitution\nT244 -> T270\nX495 -> T270\nT246 -> []\nX496 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
161 -> 456 [arrowhead = none ];
456 -> 163;

457 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
161 -> 457 [arrowhead = none ];
457 -> 164;

458 [label="EVAL with clause\nnoattack(X509, .(X510, X511), X512) :- ','(notEq(X509, X510), ','(add(X510, X512, X513), ','(notEq(X509, X513), ','(add(X509, X512, X514), ','(notEq(X510, X514), noattack(X509, X511, s(X512))))))).\nand substitution\nT244 -> T277\nX509 -> T277\nX510 -> T278\nX511 -> T279\nT246 -> .(T278, T279)\nX512 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
162 -> 458 [arrowhead = none ];
458 -> 166;

459 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
162 -> 459 [arrowhead = none ];
459 -> 167;

460 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
163 -> 460 [arrowhead = none ];
460 -> 165;

461 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
166 -> 461 [arrowhead = none ];
461 -> 168;

462 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
166 -> 462 [arrowhead = none ];
462 -> 169;

463 [label="INSTANCE with matching:\nT127 -> T277\nT128 -> T278", fontsize=14, style = filled, fillcolor = lightgrey];
168 -> 463 [arrowhead = none , style=dashed];
463 -> 51[style=dashed];

464 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
169 -> 464 [arrowhead = none ];
464 -> 170;

465 [label="SPLIT 2\nnew knowledge:\nT284 is ground\nreplacements:\nX513 -> T284", fontsize=14, style = filled, fillcolor = violet];
169 -> 465 [arrowhead = none ];
465 -> 171;

466 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
170 -> 466 [arrowhead = none ];
466 -> 172;

467 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
171 -> 467 [arrowhead = none ];
467 -> 180;

468 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
171 -> 468 [arrowhead = none ];
468 -> 181;

469 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
172 -> 469 [arrowhead = none ];
469 -> 173;

470 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
172 -> 470 [arrowhead = none ];
470 -> 174;

471 [label="EVAL with clause\nadd(0, X531, X531).\nand substitution\nT278 -> 0\nX531 -> s(s(s(s(s(0)))))\nX513 -> s(s(s(s(s(0)))))", fontsize=14, style = filled, fillcolor = lightblue];
173 -> 471 [arrowhead = none ];
471 -> 175;

472 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
173 -> 472 [arrowhead = none ];
472 -> 176;

473 [label="EVAL with clause\nadd(s(X541), X542, s(X543)) :- add(X541, X542, X543).\nand substitution\nX541 -> T287\nT278 -> s(T287)\nX542 -> s(s(s(s(s(0)))))\nX543 -> X544\nX513 -> s(X544)", fontsize=14, style = filled, fillcolor = lightblue];
174 -> 473 [arrowhead = none ];
473 -> 178;

474 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
174 -> 474 [arrowhead = none ];
474 -> 179;

475 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
175 -> 475 [arrowhead = none ];
475 -> 177;

476 [label="INSTANCE with matching:\nT278 -> T287\nX513 -> X544", fontsize=14, style = filled, fillcolor = lightgrey];
178 -> 476 [arrowhead = none , style=dashed];
476 -> 170[style=dashed];

477 [label="INSTANCE with matching:\nT127 -> T277\nT128 -> T284", fontsize=14, style = filled, fillcolor = lightgrey];
180 -> 477 [arrowhead = none , style=dashed];
477 -> 51[style=dashed];

478 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
181 -> 478 [arrowhead = none ];
478 -> 182;

479 [label="SPLIT 2\nnew knowledge:\nT292 is ground\nreplacements:\nX514 -> T292", fontsize=14, style = filled, fillcolor = violet];
181 -> 479 [arrowhead = none ];
479 -> 183;

480 [label="INSTANCE with matching:\nT278 -> T277\nX513 -> X514", fontsize=14, style = filled, fillcolor = lightgrey];
182 -> 480 [arrowhead = none , style=dashed];
480 -> 170[style=dashed];

481 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
183 -> 481 [arrowhead = none ];
481 -> 184;

482 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
183 -> 482 [arrowhead = none ];
482 -> 185;

483 [label="INSTANCE with matching:\nT127 -> T278\nT128 -> T292", fontsize=14, style = filled, fillcolor = lightgrey];
184 -> 483 [arrowhead = none , style=dashed];
483 -> 51[style=dashed];

484 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
185 -> 484 [arrowhead = none ];
484 -> 186;

485 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
186 -> 485 [arrowhead = none ];
485 -> 187;

486 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
186 -> 486 [arrowhead = none ];
486 -> 188;

487 [label="EVAL with clause\nnoattack(X574, [], X575).\nand substitution\nT277 -> T303\nX574 -> T303\nT279 -> []\nX575 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
187 -> 487 [arrowhead = none ];
487 -> 189;

488 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
187 -> 488 [arrowhead = none ];
488 -> 190;

489 [label="EVAL with clause\nnoattack(X588, .(X589, X590), X591) :- ','(notEq(X588, X589), ','(add(X589, X591, X592), ','(notEq(X588, X592), ','(add(X588, X591, X593), ','(notEq(X589, X593), noattack(X588, X590, s(X591))))))).\nand substitution\nT277 -> T310\nX588 -> T310\nX589 -> T311\nX590 -> T312\nT279 -> .(T311, T312)\nX591 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
188 -> 489 [arrowhead = none ];
489 -> 192;

490 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
188 -> 490 [arrowhead = none ];
490 -> 193;

491 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
189 -> 491 [arrowhead = none ];
491 -> 191;

492 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
192 -> 492 [arrowhead = none ];
492 -> 194;

493 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
192 -> 493 [arrowhead = none ];
493 -> 195;

494 [label="INSTANCE with matching:\nT127 -> T310\nT128 -> T311", fontsize=14, style = filled, fillcolor = lightgrey];
194 -> 494 [arrowhead = none , style=dashed];
494 -> 51[style=dashed];

495 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
195 -> 495 [arrowhead = none ];
495 -> 196;

496 [label="SPLIT 2\nnew knowledge:\nT317 is ground\nreplacements:\nX592 -> T317", fontsize=14, style = filled, fillcolor = violet];
195 -> 496 [arrowhead = none ];
496 -> 197;

497 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
196 -> 497 [arrowhead = none ];
497 -> 198;

498 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
197 -> 498 [arrowhead = none ];
498 -> 206;

499 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
197 -> 499 [arrowhead = none ];
499 -> 207;

500 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
198 -> 500 [arrowhead = none ];
500 -> 199;

501 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
198 -> 501 [arrowhead = none ];
501 -> 200;

502 [label="EVAL with clause\nadd(0, X610, X610).\nand substitution\nT311 -> 0\nX610 -> s(s(s(s(s(s(0))))))\nX592 -> s(s(s(s(s(s(0))))))", fontsize=14, style = filled, fillcolor = lightblue];
199 -> 502 [arrowhead = none ];
502 -> 201;

503 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
199 -> 503 [arrowhead = none ];
503 -> 202;

504 [label="EVAL with clause\nadd(s(X620), X621, s(X622)) :- add(X620, X621, X622).\nand substitution\nX620 -> T320\nT311 -> s(T320)\nX621 -> s(s(s(s(s(s(0))))))\nX622 -> X623\nX592 -> s(X623)", fontsize=14, style = filled, fillcolor = lightblue];
200 -> 504 [arrowhead = none ];
504 -> 204;

505 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
200 -> 505 [arrowhead = none ];
505 -> 205;

506 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
201 -> 506 [arrowhead = none ];
506 -> 203;

507 [label="INSTANCE with matching:\nT311 -> T320\nX592 -> X623", fontsize=14, style = filled, fillcolor = lightgrey];
204 -> 507 [arrowhead = none , style=dashed];
507 -> 196[style=dashed];

508 [label="INSTANCE with matching:\nT127 -> T310\nT128 -> T317", fontsize=14, style = filled, fillcolor = lightgrey];
206 -> 508 [arrowhead = none , style=dashed];
508 -> 51[style=dashed];

509 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
207 -> 509 [arrowhead = none ];
509 -> 208;

510 [label="SPLIT 2\nnew knowledge:\nT325 is ground\nreplacements:\nX593 -> T325", fontsize=14, style = filled, fillcolor = violet];
207 -> 510 [arrowhead = none ];
510 -> 209;

511 [label="INSTANCE with matching:\nT311 -> T310\nX592 -> X593", fontsize=14, style = filled, fillcolor = lightgrey];
208 -> 511 [arrowhead = none , style=dashed];
511 -> 196[style=dashed];

512 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
209 -> 512 [arrowhead = none ];
512 -> 210;

513 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
209 -> 513 [arrowhead = none ];
513 -> 211;

514 [label="INSTANCE with matching:\nT127 -> T311\nT128 -> T325", fontsize=14, style = filled, fillcolor = lightgrey];
210 -> 514 [arrowhead = none , style=dashed];
514 -> 51[style=dashed];

515 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
211 -> 515 [arrowhead = none ];
515 -> 212;

516 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
212 -> 516 [arrowhead = none ];
516 -> 213;

517 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
212 -> 517 [arrowhead = none ];
517 -> 214;

518 [label="EVAL with clause\nnoattack(X653, [], X654).\nand substitution\nT310 -> T336\nX653 -> T336\nT312 -> []\nX654 -> s(s(s(s(s(s(s(0)))))))", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 518 [arrowhead = none ];
518 -> 215;

519 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
213 -> 519 [arrowhead = none ];
519 -> 216;

520 [label="EVAL with clause\nnoattack(X667, .(X668, X669), X670) :- ','(notEq(X667, X668), ','(add(X668, X670, X671), ','(notEq(X667, X671), ','(add(X667, X670, X672), ','(notEq(X668, X672), noattack(X667, X669, s(X670))))))).\nand substitution\nT310 -> T343\nX667 -> T343\nX668 -> T344\nX669 -> T345\nT312 -> .(T344, T345)\nX670 -> s(s(s(s(s(s(s(0)))))))", fontsize=14, style = filled, fillcolor = lightblue];
214 -> 520 [arrowhead = none ];
520 -> 218;

521 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
214 -> 521 [arrowhead = none ];
521 -> 219;

522 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
215 -> 522 [arrowhead = none ];
522 -> 217;

523 [label="GENERALIZATION\nT348 <-- s(s(s(s(s(s(s(0)))))))\n\nNew Knowledge:\nT348 is ground", fontsize=14, style = filled, fillcolor = violet];
218 -> 523 [arrowhead = none ];
523 -> 220;

524 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
220 -> 524 [arrowhead = none ];
524 -> 221;

525 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
220 -> 525 [arrowhead = none ];
525 -> 222;

526 [label="INSTANCE with matching:\nT127 -> T343\nT128 -> T344", fontsize=14, style = filled, fillcolor = lightgrey];
221 -> 526 [arrowhead = none , style=dashed];
526 -> 51[style=dashed];

527 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
222 -> 527 [arrowhead = none ];
527 -> 223;

528 [label="SPLIT 2\nnew knowledge:\nT353 is ground\nreplacements:\nX671 -> T353", fontsize=14, style = filled, fillcolor = violet];
222 -> 528 [arrowhead = none ];
528 -> 224;

529 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
223 -> 529 [arrowhead = none ];
529 -> 225;

530 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
224 -> 530 [arrowhead = none ];
530 -> 233;

531 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
224 -> 531 [arrowhead = none ];
531 -> 234;

532 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
225 -> 532 [arrowhead = none ];
532 -> 226;

533 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
225 -> 533 [arrowhead = none ];
533 -> 227;

534 [label="EVAL with clause\nadd(0, X691, X691).\nand substitution\nT344 -> 0\nX691 -> s(s(s(s(s(s(s(0)))))))\nX671 -> s(s(s(s(s(s(s(0)))))))", fontsize=14, style = filled, fillcolor = lightblue];
226 -> 534 [arrowhead = none ];
534 -> 228;

535 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
226 -> 535 [arrowhead = none ];
535 -> 229;

536 [label="EVAL with clause\nadd(s(X701), X702, s(X703)) :- add(X701, X702, X703).\nand substitution\nX701 -> T356\nT344 -> s(T356)\nX702 -> s(s(s(s(s(s(s(0)))))))\nX703 -> X704\nX671 -> s(X704)", fontsize=14, style = filled, fillcolor = lightblue];
227 -> 536 [arrowhead = none ];
536 -> 231;

537 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
227 -> 537 [arrowhead = none ];
537 -> 232;

538 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
228 -> 538 [arrowhead = none ];
538 -> 230;

539 [label="INSTANCE with matching:\nT344 -> T356\nX671 -> X704", fontsize=14, style = filled, fillcolor = lightgrey];
231 -> 539 [arrowhead = none , style=dashed];
539 -> 223[style=dashed];

540 [label="INSTANCE with matching:\nT127 -> T343\nT128 -> T353", fontsize=14, style = filled, fillcolor = lightgrey];
233 -> 540 [arrowhead = none , style=dashed];
540 -> 51[style=dashed];

541 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
234 -> 541 [arrowhead = none ];
541 -> 235;

542 [label="SPLIT 2\nnew knowledge:\nT361 is ground\nreplacements:\nX672 -> T361", fontsize=14, style = filled, fillcolor = violet];
234 -> 542 [arrowhead = none ];
542 -> 236;

543 [label="INSTANCE with matching:\nT344 -> T343\nX671 -> X672", fontsize=14, style = filled, fillcolor = lightgrey];
235 -> 543 [arrowhead = none , style=dashed];
543 -> 223[style=dashed];

544 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
236 -> 544 [arrowhead = none ];
544 -> 237;

545 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
236 -> 545 [arrowhead = none ];
545 -> 238;

546 [label="INSTANCE with matching:\nT127 -> T344\nT128 -> T361", fontsize=14, style = filled, fillcolor = lightgrey];
237 -> 546 [arrowhead = none , style=dashed];
546 -> 51[style=dashed];

547 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
238 -> 547 [arrowhead = none ];
547 -> 239;

548 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
239 -> 548 [arrowhead = none ];
548 -> 240;

549 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
239 -> 549 [arrowhead = none ];
549 -> 241;

550 [label="EVAL with clause\nnoattack(X734, [], X735).\nand substitution\nT343 -> T378\nX734 -> T378\nT345 -> []\nT348 -> T379\nX735 -> s(T379)", fontsize=14, style = filled, fillcolor = lightblue];
240 -> 550 [arrowhead = none ];
550 -> 242;

551 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
240 -> 551 [arrowhead = none ];
551 -> 243;

552 [label="EVAL with clause\nnoattack(X748, .(X749, X750), X751) :- ','(notEq(X748, X749), ','(add(X749, X751, X752), ','(notEq(X748, X752), ','(add(X748, X751, X753), ','(notEq(X749, X753), noattack(X748, X750, s(X751))))))).\nand substitution\nT343 -> T388\nX748 -> T388\nX749 -> T389\nX750 -> T390\nT345 -> .(T389, T390)\nT348 -> T391\nX751 -> s(T391)", fontsize=14, style = filled, fillcolor = lightblue];
241 -> 552 [arrowhead = none ];
552 -> 245;

553 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
241 -> 553 [arrowhead = none ];
553 -> 246;

554 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
242 -> 554 [arrowhead = none ];
554 -> 244;

555 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
245 -> 555 [arrowhead = none ];
555 -> 247;

556 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
245 -> 556 [arrowhead = none ];
556 -> 248;

557 [label="INSTANCE with matching:\nT127 -> T388\nT128 -> T389", fontsize=14, style = filled, fillcolor = lightgrey];
247 -> 557 [arrowhead = none , style=dashed];
557 -> 51[style=dashed];

558 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
248 -> 558 [arrowhead = none ];
558 -> 249;

559 [label="SPLIT 2\nnew knowledge:\nT398 is ground\nreplacements:\nX752 -> T398", fontsize=14, style = filled, fillcolor = violet];
248 -> 559 [arrowhead = none ];
559 -> 250;

560 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
249 -> 560 [arrowhead = none ];
560 -> 251;

561 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
250 -> 561 [arrowhead = none ];
561 -> 259;

562 [label="SPLIT 2", fontsize=14, style = filled, fillcolor = violet];
250 -> 562 [arrowhead = none ];
562 -> 260;

563 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
251 -> 563 [arrowhead = none ];
563 -> 252;

564 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
251 -> 564 [arrowhead = none ];
564 -> 253;

565 [label="EVAL with clause\nadd(0, X770, X770).\nand substitution\nT389 -> 0\nT391 -> T405\nX770 -> s(T405)\nX752 -> s(T405)", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 565 [arrowhead = none ];
565 -> 254;

566 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
252 -> 566 [arrowhead = none ];
566 -> 255;

567 [label="EVAL with clause\nadd(s(X780), X781, s(X782)) :- add(X780, X781, X782).\nand substitution\nX780 -> T410\nT389 -> s(T410)\nT391 -> T411\nX781 -> s(T411)\nX782 -> X783\nX752 -> s(X783)", fontsize=14, style = filled, fillcolor = lightblue];
253 -> 567 [arrowhead = none ];
567 -> 257;

568 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
253 -> 568 [arrowhead = none ];
568 -> 258;

569 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
254 -> 569 [arrowhead = none ];
569 -> 256;

570 [label="INSTANCE with matching:\nT389 -> T410\nT391 -> T411\nX752 -> X783", fontsize=14, style = filled, fillcolor = lightgrey];
257 -> 570 [arrowhead = none , style=dashed];
570 -> 249[style=dashed];

571 [label="INSTANCE with matching:\nT127 -> T388\nT128 -> T398", fontsize=14, style = filled, fillcolor = lightgrey];
259 -> 571 [arrowhead = none , style=dashed];
571 -> 51[style=dashed];

572 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
260 -> 572 [arrowhead = none ];
572 -> 261;

573 [label="SPLIT 2\nnew knowledge:\nT420 is ground\nreplacements:\nX753 -> T420", fontsize=14, style = filled, fillcolor = violet];
260 -> 573 [arrowhead = none ];
573 -> 262;

574 [label="INSTANCE with matching:\nT389 -> T388\nX752 -> X753", fontsize=14, style = filled, fillcolor = lightgrey];
261 -> 574 [arrowhead = none , style=dashed];
574 -> 249[style=dashed];

575 [label="INSTANCE with matching:\nT344 -> T389\nT361 -> T420\nT343 -> T388\nT345 -> T390\nT348 -> s(T391)", fontsize=14, style = filled, fillcolor = lightgrey];
262 -> 575 [arrowhead = none , style=dashed];
575 -> 236[style=dashed];

576 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
263 -> 576 [arrowhead = none ];
576 -> 264;

577 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
263 -> 577 [arrowhead = none ];
577 -> 265;

578 [label="EVAL with clause\nsafe([]).\nand substitution\nT111 -> []", fontsize=14, style = filled, fillcolor = lightblue];
264 -> 578 [arrowhead = none ];
578 -> 266;

579 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
264 -> 579 [arrowhead = none ];
579 -> 267;

580 [label="EVAL with clause\nsafe(.(X803, X804)) :- ','(noattack(X803, X804, s(0)), safe(X804)).\nand substitution\nX803 -> T429\nX804 -> T430\nT111 -> .(T429, T430)", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 580 [arrowhead = none ];
580 -> 269;

581 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightblue];
265 -> 581 [arrowhead = none ];
581 -> 270;

582 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
266 -> 582 [arrowhead = none ];
582 -> 268;

583 [label="INSTANCE with matching:\nT110 -> T429\nT111 -> T430", fontsize=14, style = filled, fillcolor = lightgrey];
269 -> 583 [arrowhead = none , style=dashed];
583 -> 40[style=dashed];

}

(2) Obligation:

Triples:

delete17(T72, .(T70, T71), .(T70, X94)) :- delete17(T72, T71, X94).
perm26(.(T86, T87), .(T90, T91)) :- delete17(T90, .(T86, T87), X116).
perm26(.(T86, T87), .(T90, T97)) :- ','(deletec17(T90, .(T86, T87), T96), perm26(T96, T97)).
notEq51(s(T148), s(T149)) :- notEq51(T148, T149).
add66(s(T155), s(X228)) :- add66(T155, X228).
add92(s(T188), s(X307)) :- add92(T188, X307).
add118(s(T221), s(X386)) :- add118(T221, X386).
add144(s(T254), s(X465)) :- add144(T254, X465).
add170(s(T287), s(X544)) :- add170(T287, X544).
add196(s(T320), s(X623)) :- add196(T320, X623).
add223(s(T356), s(X704)) :- add223(T356, X704).
add249(s(T410), T411, s(X783)) :- add249(T410, T411, X783).
p236(T344, T361, T343, T345, T348) :- notEq51(T344, T361).
p236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), notEq51(T388, T389)).
p236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), ','(notEqc51(T388, T389), add249(T389, T391, X752))).
p236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), ','(notEqc51(T388, T389), ','(addc249(T389, T391, T398), notEq51(T388, T398)))).
p236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), ','(notEqc51(T388, T389), ','(addc249(T389, T391, T398), ','(notEqc51(T388, T398), add249(T388, T391, X753))))).
p236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), ','(notEqc51(T388, T389), ','(addc249(T389, T391, T398), ','(notEqc51(T388, T398), ','(addc249(T388, T391, T420), p236(T389, T420, T388, T390, s(T391))))))).
p40(T127, .(T128, T129)) :- notEq51(T127, T128).
p40(T127, .(T128, T129)) :- ','(notEqc51(T127, T128), add66(T128, X175)).
p40(T127, .(T128, T129)) :- ','(notEqc51(T127, T128), ','(addc66(T128, T152), notEq51(T127, T152))).
p40(T127, .(T128, T129)) :- ','(notEqc51(T127, T128), ','(addc66(T128, T152), ','(notEqc51(T127, T152), add66(T127, X176)))).
p40(T127, .(T128, T129)) :- ','(notEqc51(T127, T128), ','(addc66(T128, T152), ','(notEqc51(T127, T152), ','(addc66(T127, T160), notEq51(T160, T160))))).
p40(T178, .(T128, .(T179, T180))) :- ','(notEqc51(T178, T128), ','(addc66(T128, T152), ','(notEqc51(T178, T152), ','(addc66(T178, T160), ','(notEqc51(T160, T160), notEq51(T178, T179)))))).
p40(T178, .(T128, .(T179, T180))) :- ','(notEqc51(T178, T128), ','(addc66(T128, T152), ','(notEqc51(T178, T152), ','(addc66(T178, T160), ','(notEqc51(T160, T160), ','(notEqc51(T178, T179), add92(T179, X276))))))).
p40(T178, .(T128, .(T179, T180))) :- ','(notEqc51(T178, T128), ','(addc66(T128, T152), ','(notEqc51(T178, T152), ','(addc66(T178, T160), ','(notEqc51(T160, T160), ','(notEqc51(T178, T179), ','(addc92(T179, T185), notEq51(T178, T185)))))))).
p40(T178, .(T128, .(T179, T180))) :- ','(notEqc51(T178, T128), ','(addc66(T128, T152), ','(notEqc51(T178, T152), ','(addc66(T178, T160), ','(notEqc51(T160, T160), ','(notEqc51(T178, T179), ','(addc92(T179, T185), ','(notEqc51(T178, T185), add92(T178, X277))))))))).
p40(T178, .(T128, .(T179, T180))) :- ','(notEqc51(T178, T128), ','(addc66(T128, T152), ','(notEqc51(T178, T152), ','(addc66(T178, T160), ','(notEqc51(T160, T160), ','(notEqc51(T178, T179), ','(addc92(T179, T185), ','(notEqc51(T178, T185), ','(addc92(T178, T193), notEq51(T179, T193)))))))))).
p40(T211, .(T128, .(T179, .(T212, T213)))) :- ','(notEqc51(T211, T128), ','(addc66(T128, T152), ','(notEqc51(T211, T152), ','(addc66(T211, T160), ','(notEqc51(T160, T160), ','(notEqc51(T211, T179), ','(addc92(T179, T185), ','(notEqc51(T211, T185), ','(addc92(T211, T193), ','(notEqc51(T179, T193), notEq51(T211, T212))))))))))).
p40(T211, .(T128, .(T179, .(T212, T213)))) :- ','(notEqc51(T211, T128), ','(addc66(T128, T152), ','(notEqc51(T211, T152), ','(addc66(T211, T160), ','(notEqc51(T160, T160), ','(notEqc51(T211, T179), ','(addc92(T179, T185), ','(notEqc51(T211, T185), ','(addc92(T211, T193), ','(notEqc51(T179, T193), ','(notEqc51(T211, T212), add118(T212, X355)))))))))))).
p40(T211, .(T128, .(T179, .(T212, T213)))) :- ','(notEqc51(T211, T128), ','(addc66(T128, T152), ','(notEqc51(T211, T152), ','(addc66(T211, T160), ','(notEqc51(T160, T160), ','(notEqc51(T211, T179), ','(addc92(T179, T185), ','(notEqc51(T211, T185), ','(addc92(T211, T193), ','(notEqc51(T179, T193), ','(notEqc51(T211, T212), ','(addc118(T212, T218), notEq51(T211, T218))))))))))))).
p40(T211, .(T128, .(T179, .(T212, T213)))) :- ','(notEqc51(T211, T128), ','(addc66(T128, T152), ','(notEqc51(T211, T152), ','(addc66(T211, T160), ','(notEqc51(T160, T160), ','(notEqc51(T211, T179), ','(addc92(T179, T185), ','(notEqc51(T211, T185), ','(addc92(T211, T193), ','(notEqc51(T179, T193), ','(notEqc51(T211, T212), ','(addc118(T212, T218), ','(notEqc51(T211, T218), add118(T211, X356)))))))))))))).
p40(T211, .(T128, .(T179, .(T212, T213)))) :- ','(notEqc51(T211, T128), ','(addc66(T128, T152), ','(notEqc51(T211, T152), ','(addc66(T211, T160), ','(notEqc51(T160, T160), ','(notEqc51(T211, T179), ','(addc92(T179, T185), ','(notEqc51(T211, T185), ','(addc92(T211, T193), ','(notEqc51(T179, T193), ','(notEqc51(T211, T212), ','(addc118(T212, T218), ','(notEqc51(T211, T218), ','(addc118(T211, T226), notEq51(T212, T226))))))))))))))).
p40(T244, .(T128, .(T179, .(T212, .(T245, T246))))) :- ','(notEqc51(T244, T128), ','(addc66(T128, T152), ','(notEqc51(T244, T152), ','(addc66(T244, T160), ','(notEqc51(T160, T160), ','(notEqc51(T244, T179), ','(addc92(T179, T185), ','(notEqc51(T244, T185), ','(addc92(T244, T193), ','(notEqc51(T179, T193), ','(notEqc51(T244, T212), ','(addc118(T212, T218), ','(notEqc51(T244, T218), ','(addc118(T244, T226), ','(notEqc51(T212, T226), notEq51(T244, T245)))))))))))))))).
p40(T244, .(T128, .(T179, .(T212, .(T245, T246))))) :- ','(notEqc51(T244, T128), ','(addc66(T128, T152), ','(notEqc51(T244, T152), ','(addc66(T244, T160), ','(notEqc51(T160, T160), ','(notEqc51(T244, T179), ','(addc92(T179, T185), ','(notEqc51(T244, T185), ','(addc92(T244, T193), ','(notEqc51(T179, T193), ','(notEqc51(T244, T212), ','(addc118(T212, T218), ','(notEqc51(T244, T218), ','(addc118(T244, T226), ','(notEqc51(T212, T226), ','(notEqc51(T244, T245), add144(T245, X434))))))))))))))))).
p40(T244, .(T128, .(T179, .(T212, .(T245, T246))))) :- ','(notEqc51(T244, T128), ','(addc66(T128, T152), ','(notEqc51(T244, T152), ','(addc66(T244, T160), ','(notEqc51(T160, T160), ','(notEqc51(T244, T179), ','(addc92(T179, T185), ','(notEqc51(T244, T185), ','(addc92(T244, T193), ','(notEqc51(T179, T193), ','(notEqc51(T244, T212), ','(addc118(T212, T218), ','(notEqc51(T244, T218), ','(addc118(T244, T226), ','(notEqc51(T212, T226), ','(notEqc51(T244, T245), ','(addc144(T245, T251), notEq51(T244, T251)))))))))))))))))).
p40(T244, .(T128, .(T179, .(T212, .(T245, T246))))) :- ','(notEqc51(T244, T128), ','(addc66(T128, T152), ','(notEqc51(T244, T152), ','(addc66(T244, T160), ','(notEqc51(T160, T160), ','(notEqc51(T244, T179), ','(addc92(T179, T185), ','(notEqc51(T244, T185), ','(addc92(T244, T193), ','(notEqc51(T179, T193), ','(notEqc51(T244, T212), ','(addc118(T212, T218), ','(notEqc51(T244, T218), ','(addc118(T244, T226), ','(notEqc51(T212, T226), ','(notEqc51(T244, T245), ','(addc144(T245, T251), ','(notEqc51(T244, T251), add144(T244, X435))))))))))))))))))).
p40(T244, .(T128, .(T179, .(T212, .(T245, T246))))) :- ','(notEqc51(T244, T128), ','(addc66(T128, T152), ','(notEqc51(T244, T152), ','(addc66(T244, T160), ','(notEqc51(T160, T160), ','(notEqc51(T244, T179), ','(addc92(T179, T185), ','(notEqc51(T244, T185), ','(addc92(T244, T193), ','(notEqc51(T179, T193), ','(notEqc51(T244, T212), ','(addc118(T212, T218), ','(notEqc51(T244, T218), ','(addc118(T244, T226), ','(notEqc51(T212, T226), ','(notEqc51(T244, T245), ','(addc144(T245, T251), ','(notEqc51(T244, T251), ','(addc144(T244, T259), notEq51(T245, T259)))))))))))))))))))).
p40(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) :- ','(notEqc51(T277, T128), ','(addc66(T128, T152), ','(notEqc51(T277, T152), ','(addc66(T277, T160), ','(notEqc51(T160, T160), ','(notEqc51(T277, T179), ','(addc92(T179, T185), ','(notEqc51(T277, T185), ','(addc92(T277, T193), ','(notEqc51(T179, T193), ','(notEqc51(T277, T212), ','(addc118(T212, T218), ','(notEqc51(T277, T218), ','(addc118(T277, T226), ','(notEqc51(T212, T226), ','(notEqc51(T277, T245), ','(addc144(T245, T251), ','(notEqc51(T277, T251), ','(addc144(T277, T259), ','(notEqc51(T245, T259), notEq51(T277, T278))))))))))))))))))))).
p40(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) :- ','(notEqc51(T277, T128), ','(addc66(T128, T152), ','(notEqc51(T277, T152), ','(addc66(T277, T160), ','(notEqc51(T160, T160), ','(notEqc51(T277, T179), ','(addc92(T179, T185), ','(notEqc51(T277, T185), ','(addc92(T277, T193), ','(notEqc51(T179, T193), ','(notEqc51(T277, T212), ','(addc118(T212, T218), ','(notEqc51(T277, T218), ','(addc118(T277, T226), ','(notEqc51(T212, T226), ','(notEqc51(T277, T245), ','(addc144(T245, T251), ','(notEqc51(T277, T251), ','(addc144(T277, T259), ','(notEqc51(T245, T259), ','(notEqc51(T277, T278), add170(T278, X513)))))))))))))))))))))).
p40(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) :- ','(notEqc51(T277, T128), ','(addc66(T128, T152), ','(notEqc51(T277, T152), ','(addc66(T277, T160), ','(notEqc51(T160, T160), ','(notEqc51(T277, T179), ','(addc92(T179, T185), ','(notEqc51(T277, T185), ','(addc92(T277, T193), ','(notEqc51(T179, T193), ','(notEqc51(T277, T212), ','(addc118(T212, T218), ','(notEqc51(T277, T218), ','(addc118(T277, T226), ','(notEqc51(T212, T226), ','(notEqc51(T277, T245), ','(addc144(T245, T251), ','(notEqc51(T277, T251), ','(addc144(T277, T259), ','(notEqc51(T245, T259), ','(notEqc51(T277, T278), ','(addc170(T278, T284), notEq51(T277, T284))))))))))))))))))))))).
p40(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) :- ','(notEqc51(T277, T128), ','(addc66(T128, T152), ','(notEqc51(T277, T152), ','(addc66(T277, T160), ','(notEqc51(T160, T160), ','(notEqc51(T277, T179), ','(addc92(T179, T185), ','(notEqc51(T277, T185), ','(addc92(T277, T193), ','(notEqc51(T179, T193), ','(notEqc51(T277, T212), ','(addc118(T212, T218), ','(notEqc51(T277, T218), ','(addc118(T277, T226), ','(notEqc51(T212, T226), ','(notEqc51(T277, T245), ','(addc144(T245, T251), ','(notEqc51(T277, T251), ','(addc144(T277, T259), ','(notEqc51(T245, T259), ','(notEqc51(T277, T278), ','(addc170(T278, T284), ','(notEqc51(T277, T284), add170(T277, X514)))))))))))))))))))))))).
p40(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) :- ','(notEqc51(T277, T128), ','(addc66(T128, T152), ','(notEqc51(T277, T152), ','(addc66(T277, T160), ','(notEqc51(T160, T160), ','(notEqc51(T277, T179), ','(addc92(T179, T185), ','(notEqc51(T277, T185), ','(addc92(T277, T193), ','(notEqc51(T179, T193), ','(notEqc51(T277, T212), ','(addc118(T212, T218), ','(notEqc51(T277, T218), ','(addc118(T277, T226), ','(notEqc51(T212, T226), ','(notEqc51(T277, T245), ','(addc144(T245, T251), ','(notEqc51(T277, T251), ','(addc144(T277, T259), ','(notEqc51(T245, T259), ','(notEqc51(T277, T278), ','(addc170(T278, T284), ','(notEqc51(T277, T284), ','(addc170(T277, T292), notEq51(T278, T292))))))))))))))))))))))))).
p40(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) :- ','(notEqc51(T310, T128), ','(addc66(T128, T152), ','(notEqc51(T310, T152), ','(addc66(T310, T160), ','(notEqc51(T160, T160), ','(notEqc51(T310, T179), ','(addc92(T179, T185), ','(notEqc51(T310, T185), ','(addc92(T310, T193), ','(notEqc51(T179, T193), ','(notEqc51(T310, T212), ','(addc118(T212, T218), ','(notEqc51(T310, T218), ','(addc118(T310, T226), ','(notEqc51(T212, T226), ','(notEqc51(T310, T245), ','(addc144(T245, T251), ','(notEqc51(T310, T251), ','(addc144(T310, T259), ','(notEqc51(T245, T259), ','(notEqc51(T310, T278), ','(addc170(T278, T284), ','(notEqc51(T310, T284), ','(addc170(T310, T292), ','(notEqc51(T278, T292), notEq51(T310, T311)))))))))))))))))))))))))).
p40(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) :- ','(notEqc51(T310, T128), ','(addc66(T128, T152), ','(notEqc51(T310, T152), ','(addc66(T310, T160), ','(notEqc51(T160, T160), ','(notEqc51(T310, T179), ','(addc92(T179, T185), ','(notEqc51(T310, T185), ','(addc92(T310, T193), ','(notEqc51(T179, T193), ','(notEqc51(T310, T212), ','(addc118(T212, T218), ','(notEqc51(T310, T218), ','(addc118(T310, T226), ','(notEqc51(T212, T226), ','(notEqc51(T310, T245), ','(addc144(T245, T251), ','(notEqc51(T310, T251), ','(addc144(T310, T259), ','(notEqc51(T245, T259), ','(notEqc51(T310, T278), ','(addc170(T278, T284), ','(notEqc51(T310, T284), ','(addc170(T310, T292), ','(notEqc51(T278, T292), ','(notEqc51(T310, T311), add196(T311, X592))))))))))))))))))))))))))).
p40(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) :- ','(notEqc51(T310, T128), ','(addc66(T128, T152), ','(notEqc51(T310, T152), ','(addc66(T310, T160), ','(notEqc51(T160, T160), ','(notEqc51(T310, T179), ','(addc92(T179, T185), ','(notEqc51(T310, T185), ','(addc92(T310, T193), ','(notEqc51(T179, T193), ','(notEqc51(T310, T212), ','(addc118(T212, T218), ','(notEqc51(T310, T218), ','(addc118(T310, T226), ','(notEqc51(T212, T226), ','(notEqc51(T310, T245), ','(addc144(T245, T251), ','(notEqc51(T310, T251), ','(addc144(T310, T259), ','(notEqc51(T245, T259), ','(notEqc51(T310, T278), ','(addc170(T278, T284), ','(notEqc51(T310, T284), ','(addc170(T310, T292), ','(notEqc51(T278, T292), ','(notEqc51(T310, T311), ','(addc196(T311, T317), notEq51(T310, T317)))))))))))))))))))))))))))).
p40(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) :- ','(notEqc51(T310, T128), ','(addc66(T128, T152), ','(notEqc51(T310, T152), ','(addc66(T310, T160), ','(notEqc51(T160, T160), ','(notEqc51(T310, T179), ','(addc92(T179, T185), ','(notEqc51(T310, T185), ','(addc92(T310, T193), ','(notEqc51(T179, T193), ','(notEqc51(T310, T212), ','(addc118(T212, T218), ','(notEqc51(T310, T218), ','(addc118(T310, T226), ','(notEqc51(T212, T226), ','(notEqc51(T310, T245), ','(addc144(T245, T251), ','(notEqc51(T310, T251), ','(addc144(T310, T259), ','(notEqc51(T245, T259), ','(notEqc51(T310, T278), ','(addc170(T278, T284), ','(notEqc51(T310, T284), ','(addc170(T310, T292), ','(notEqc51(T278, T292), ','(notEqc51(T310, T311), ','(addc196(T311, T317), ','(notEqc51(T310, T317), add196(T310, X593))))))))))))))))))))))))))))).
p40(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) :- ','(notEqc51(T310, T128), ','(addc66(T128, T152), ','(notEqc51(T310, T152), ','(addc66(T310, T160), ','(notEqc51(T160, T160), ','(notEqc51(T310, T179), ','(addc92(T179, T185), ','(notEqc51(T310, T185), ','(addc92(T310, T193), ','(notEqc51(T179, T193), ','(notEqc51(T310, T212), ','(addc118(T212, T218), ','(notEqc51(T310, T218), ','(addc118(T310, T226), ','(notEqc51(T212, T226), ','(notEqc51(T310, T245), ','(addc144(T245, T251), ','(notEqc51(T310, T251), ','(addc144(T310, T259), ','(notEqc51(T245, T259), ','(notEqc51(T310, T278), ','(addc170(T278, T284), ','(notEqc51(T310, T284), ','(addc170(T310, T292), ','(notEqc51(T278, T292), ','(notEqc51(T310, T311), ','(addc196(T311, T317), ','(notEqc51(T310, T317), ','(addc196(T310, T325), notEq51(T311, T325)))))))))))))))))))))))))))))).
p40(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) :- ','(notEqc51(T343, T128), ','(addc66(T128, T152), ','(notEqc51(T343, T152), ','(addc66(T343, T160), ','(notEqc51(T160, T160), ','(notEqc51(T343, T179), ','(addc92(T179, T185), ','(notEqc51(T343, T185), ','(addc92(T343, T193), ','(notEqc51(T179, T193), ','(notEqc51(T343, T212), ','(addc118(T212, T218), ','(notEqc51(T343, T218), ','(addc118(T343, T226), ','(notEqc51(T212, T226), ','(notEqc51(T343, T245), ','(addc144(T245, T251), ','(notEqc51(T343, T251), ','(addc144(T343, T259), ','(notEqc51(T245, T259), ','(notEqc51(T343, T278), ','(addc170(T278, T284), ','(notEqc51(T343, T284), ','(addc170(T343, T292), ','(notEqc51(T278, T292), ','(notEqc51(T343, T311), ','(addc196(T311, T317), ','(notEqc51(T343, T317), ','(addc196(T343, T325), ','(notEqc51(T311, T325), p220(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))))))))))))))))))))))))))))))).
p40(T110, .(T429, T430)) :- ','(noattackc41(T110, .(T429, T430)), p40(T429, T430)).
p8(T48, T47, .(s(0), X63), T12) :- delete17(T48, T47, X63).
p8(T22, T15, T20, T21) :- ','(deletec9(T22, T15, T20), perm26(T20, T21)).
p8(T110, T15, T20, T111) :- ','(deletec9(T110, T15, T20), ','(permc26(T20, T111), p40(T110, T111))).
p220(T343, T344, X671, X672, T345, T348) :- notEq51(T343, T344).
p220(T343, T344, X671, X672, T345, T348) :- ','(notEqc51(T343, T344), add223(T344, X671)).
p220(T343, T344, T353, X672, T345, T348) :- ','(notEqc51(T343, T344), ','(addc223(T344, T353), notEq51(T343, T353))).
p220(T343, T344, T353, X672, T345, T348) :- ','(notEqc51(T343, T344), ','(addc223(T344, T353), ','(notEqc51(T343, T353), add223(T343, X672)))).
p220(T343, T344, T353, T361, T345, T348) :- ','(notEqc51(T343, T344), ','(addc223(T344, T353), ','(notEqc51(T343, T353), ','(addc223(T343, T361), p236(T344, T361, T343, T345, T348))))).
queens1(.(T11, T12)) :- p8(T11, .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), []))))))), X16, T12).

Clauses:

deletec17(T61, .(T61, T62), T62).
deletec17(T72, .(T70, T71), .(T70, X94)) :- deletec17(T72, T71, X94).
permc26([], []).
permc26(.(T86, T87), .(T90, T97)) :- ','(deletec17(T90, .(T86, T87), T96), permc26(T96, T97)).
notEqc51(0, s(T138)).
notEqc51(s(T143), 0).
notEqc51(s(T148), s(T149)) :- notEqc51(T148, T149).
addc66(0, s(0)).
addc66(s(T155), s(X228)) :- addc66(T155, X228).
addc92(0, s(s(0))).
addc92(s(T188), s(X307)) :- addc92(T188, X307).
addc118(0, s(s(s(0)))).
addc118(s(T221), s(X386)) :- addc118(T221, X386).
addc144(0, s(s(s(s(0))))).
addc144(s(T254), s(X465)) :- addc144(T254, X465).
addc170(0, s(s(s(s(s(0)))))).
addc170(s(T287), s(X544)) :- addc170(T287, X544).
addc196(0, s(s(s(s(s(s(0))))))).
addc196(s(T320), s(X623)) :- addc196(T320, X623).
addc223(0, s(s(s(s(s(s(s(0)))))))).
addc223(s(T356), s(X704)) :- addc223(T356, X704).
addc249(0, T405, s(T405)).
addc249(s(T410), T411, s(X783)) :- addc249(T410, T411, X783).
qc236(T344, T361, T378, [], T379) :- notEqc51(T344, T361).
qc236(T344, T361, T388, .(T389, T390), T391) :- ','(notEqc51(T344, T361), ','(notEqc51(T388, T389), ','(addc249(T389, T391, T398), ','(notEqc51(T388, T398), ','(addc249(T388, T391, T420), qc236(T389, T420, T388, T390, s(T391))))))).
qc40(T110, []) :- noattackc41(T110, []).
qc40(T110, .(T429, T430)) :- ','(noattackc41(T110, .(T429, T430)), qc40(T429, T430)).
qc8(T110, T15, T20, T111) :- ','(deletec9(T110, T15, T20), ','(permc26(T20, T111), qc40(T110, T111))).
qc220(T343, T344, T353, T361, T345, T348) :- ','(notEqc51(T343, T344), ','(addc223(T344, T353), ','(notEqc51(T343, T353), ','(addc223(T343, T361), qc236(T344, T361, T343, T345, T348))))).
deletec9(s(0), T36, T36).
deletec9(T48, T47, .(s(0), X63)) :- deletec17(T48, T47, X63).
noattackc41(T120, []).
noattackc41(T171, .(T128, [])) :- ','(notEqc51(T171, T128), ','(addc66(T128, T152), ','(notEqc51(T171, T152), ','(addc66(T171, T160), notEqc51(T160, T160))))).
noattackc41(T204, .(T128, .(T179, []))) :- ','(notEqc51(T204, T128), ','(addc66(T128, T152), ','(notEqc51(T204, T152), ','(addc66(T204, T160), ','(notEqc51(T160, T160), ','(notEqc51(T204, T179), ','(addc92(T179, T185), ','(notEqc51(T204, T185), ','(addc92(T204, T193), notEqc51(T179, T193)))))))))).
noattackc41(T237, .(T128, .(T179, .(T212, [])))) :- ','(notEqc51(T237, T128), ','(addc66(T128, T152), ','(notEqc51(T237, T152), ','(addc66(T237, T160), ','(notEqc51(T160, T160), ','(notEqc51(T237, T179), ','(addc92(T179, T185), ','(notEqc51(T237, T185), ','(addc92(T237, T193), ','(notEqc51(T179, T193), ','(notEqc51(T237, T212), ','(addc118(T212, T218), ','(notEqc51(T237, T218), ','(addc118(T237, T226), notEqc51(T212, T226))))))))))))))).
noattackc41(T270, .(T128, .(T179, .(T212, .(T245, []))))) :- ','(notEqc51(T270, T128), ','(addc66(T128, T152), ','(notEqc51(T270, T152), ','(addc66(T270, T160), ','(notEqc51(T160, T160), ','(notEqc51(T270, T179), ','(addc92(T179, T185), ','(notEqc51(T270, T185), ','(addc92(T270, T193), ','(notEqc51(T179, T193), ','(notEqc51(T270, T212), ','(addc118(T212, T218), ','(notEqc51(T270, T218), ','(addc118(T270, T226), ','(notEqc51(T212, T226), ','(notEqc51(T270, T245), ','(addc144(T245, T251), ','(notEqc51(T270, T251), ','(addc144(T270, T259), notEqc51(T245, T259)))))))))))))))))))).
noattackc41(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) :- ','(notEqc51(T303, T128), ','(addc66(T128, T152), ','(notEqc51(T303, T152), ','(addc66(T303, T160), ','(notEqc51(T160, T160), ','(notEqc51(T303, T179), ','(addc92(T179, T185), ','(notEqc51(T303, T185), ','(addc92(T303, T193), ','(notEqc51(T179, T193), ','(notEqc51(T303, T212), ','(addc118(T212, T218), ','(notEqc51(T303, T218), ','(addc118(T303, T226), ','(notEqc51(T212, T226), ','(notEqc51(T303, T245), ','(addc144(T245, T251), ','(notEqc51(T303, T251), ','(addc144(T303, T259), ','(notEqc51(T245, T259), ','(notEqc51(T303, T278), ','(addc170(T278, T284), ','(notEqc51(T303, T284), ','(addc170(T303, T292), notEqc51(T278, T292))))))))))))))))))))))))).
noattackc41(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) :- ','(notEqc51(T336, T128), ','(addc66(T128, T152), ','(notEqc51(T336, T152), ','(addc66(T336, T160), ','(notEqc51(T160, T160), ','(notEqc51(T336, T179), ','(addc92(T179, T185), ','(notEqc51(T336, T185), ','(addc92(T336, T193), ','(notEqc51(T179, T193), ','(notEqc51(T336, T212), ','(addc118(T212, T218), ','(notEqc51(T336, T218), ','(addc118(T336, T226), ','(notEqc51(T212, T226), ','(notEqc51(T336, T245), ','(addc144(T245, T251), ','(notEqc51(T336, T251), ','(addc144(T336, T259), ','(notEqc51(T245, T259), ','(notEqc51(T336, T278), ','(addc170(T278, T284), ','(notEqc51(T336, T284), ','(addc170(T336, T292), ','(notEqc51(T278, T292), ','(notEqc51(T336, T311), ','(addc196(T311, T317), ','(notEqc51(T336, T317), ','(addc196(T336, T325), notEqc51(T311, T325)))))))))))))))))))))))))))))).
noattackc41(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) :- ','(notEqc51(T343, T128), ','(addc66(T128, T152), ','(notEqc51(T343, T152), ','(addc66(T343, T160), ','(notEqc51(T160, T160), ','(notEqc51(T343, T179), ','(addc92(T179, T185), ','(notEqc51(T343, T185), ','(addc92(T343, T193), ','(notEqc51(T179, T193), ','(notEqc51(T343, T212), ','(addc118(T212, T218), ','(notEqc51(T343, T218), ','(addc118(T343, T226), ','(notEqc51(T212, T226), ','(notEqc51(T343, T245), ','(addc144(T245, T251), ','(notEqc51(T343, T251), ','(addc144(T343, T259), ','(notEqc51(T245, T259), ','(notEqc51(T343, T278), ','(addc170(T278, T284), ','(notEqc51(T343, T284), ','(addc170(T343, T292), ','(notEqc51(T278, T292), ','(notEqc51(T343, T311), ','(addc196(T311, T317), ','(notEqc51(T343, T317), ','(addc196(T343, T325), ','(notEqc51(T311, T325), qc220(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))))))))))))))))))))))))))))))).

Afs:

queens1(x1)  =  queens1

(3) TriplesToPiDPProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
queens1_in: (f)
p8_in: (f,b,f,f)
delete17_in: (f,b,f)
deletec9_in: (f,b,f)
deletec17_in: (f,b,f)
perm26_in: (b,f)
permc26_in: (b,f)
p40_in: (b,b)
notEq51_in: (b,b)
notEqc51_in: (b,b)
add66_in: (b,f)
addc66_in: (b,f)
add92_in: (b,f)
addc92_in: (b,f)
add118_in: (b,f)
addc118_in: (b,f)
add144_in: (b,f)
addc144_in: (b,f)
add170_in: (b,f)
addc170_in: (b,f)
add196_in: (b,f)
addc196_in: (b,f)
p220_in: (b,b,f,f,b,b)
add223_in: (b,f)
addc223_in: (b,f)
p236_in: (b,b,b,b,b)
add249_in: (b,b,f)
addc249_in: (b,b,f)
noattackc41_in: (b,b)
qc220_in: (b,b,f,f,b,b)
qc236_in: (b,b,b,b,b)
Transforming TRIPLES into the following Term Rewriting System:
Pi DP problem:
The TRS P consists of the following rules:

QUEENS1_IN_A(.(T11, T12)) → U206_A(T11, T12, p8_in_agaa(T11, .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), []))))))), X16, T12))
QUEENS1_IN_A(.(T11, T12)) → P8_IN_AGAA(T11, .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), []))))))), X16, T12)
P8_IN_AGAA(T48, T47, .(s(0), X63), T12) → U187_AGAA(T48, T47, X63, T12, delete17_in_aga(T48, T47, X63))
P8_IN_AGAA(T48, T47, .(s(0), X63), T12) → DELETE17_IN_AGA(T48, T47, X63)
DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → U1_AGA(T72, T70, T71, X94, delete17_in_aga(T72, T71, X94))
DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → DELETE17_IN_AGA(T72, T71, X94)
P8_IN_AGAA(T22, T15, T20, T21) → U188_AGAA(T22, T15, T20, T21, deletec9_in_aga(T22, T15, T20))
U188_AGAA(T22, T15, T20, T21, deletec9_out_aga(T22, T15, T20)) → U189_AGAA(T22, T15, T20, T21, perm26_in_ga(T20, T21))
U188_AGAA(T22, T15, T20, T21, deletec9_out_aga(T22, T15, T20)) → PERM26_IN_GA(T20, T21)
PERM26_IN_GA(.(T86, T87), .(T90, T91)) → U2_GA(T86, T87, T90, T91, delete17_in_aga(T90, .(T86, T87), X116))
PERM26_IN_GA(.(T86, T87), .(T90, T91)) → DELETE17_IN_AGA(T90, .(T86, T87), X116)
PERM26_IN_GA(.(T86, T87), .(T90, T97)) → U3_GA(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U4_GA(T86, T87, T90, T97, perm26_in_ga(T96, T97))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96, T97)
P8_IN_AGAA(T110, T15, T20, T111) → U190_AGAA(T110, T15, T20, T111, deletec9_in_aga(T110, T15, T20))
U190_AGAA(T110, T15, T20, T111, deletec9_out_aga(T110, T15, T20)) → U191_AGAA(T110, T15, T20, T111, permc26_in_ga(T20, T111))
U191_AGAA(T110, T15, T20, T111, permc26_out_ga(T20, T111)) → U192_AGAA(T110, T15, T20, T111, p40_in_gg(T110, T111))
U191_AGAA(T110, T15, T20, T111, permc26_out_ga(T20, T111)) → P40_IN_GG(T110, T111)
P40_IN_GG(T127, .(T128, T129)) → U25_GG(T127, T128, T129, notEq51_in_gg(T127, T128))
P40_IN_GG(T127, .(T128, T129)) → NOTEQ51_IN_GG(T127, T128)
NOTEQ51_IN_GG(s(T148), s(T149)) → U5_GG(T148, T149, notEq51_in_gg(T148, T149))
NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)
P40_IN_GG(T127, .(T128, T129)) → U26_GG(T127, T128, T129, notEqc51_in_gg(T127, T128))
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → U27_GG(T127, T128, T129, add66_in_ga(T128, X175))
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → ADD66_IN_GA(T128, X175)
ADD66_IN_GA(s(T155), s(X228)) → U6_GA(T155, X228, add66_in_ga(T155, X228))
ADD66_IN_GA(s(T155), s(X228)) → ADD66_IN_GA(T155, X228)
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → U28_GG(T127, T128, T129, addc66_in_ga(T128, T152))
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → U29_GG(T127, T128, T129, notEq51_in_gg(T127, T152))
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → NOTEQ51_IN_GG(T127, T152)
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → U30_GG(T127, T128, T129, notEqc51_in_gg(T127, T152))
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → U31_GG(T127, T128, T129, add66_in_ga(T127, X176))
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → ADD66_IN_GA(T127, X176)
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → U32_GG(T127, T128, T129, addc66_in_ga(T127, T160))
U32_GG(T127, T128, T129, addc66_out_ga(T127, T160)) → U33_GG(T127, T128, T129, notEq51_in_gg(T160, T160))
U32_GG(T127, T128, T129, addc66_out_ga(T127, T160)) → NOTEQ51_IN_GG(T160, T160)
P40_IN_GG(T178, .(T128, .(T179, T180))) → U34_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T128))
U34_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T128)) → U35_GG(T178, T128, T179, T180, addc66_in_ga(T128, T152))
U35_GG(T178, T128, T179, T180, addc66_out_ga(T128, T152)) → U36_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T152))
U36_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T152)) → U37_GG(T178, T128, T179, T180, addc66_in_ga(T178, T160))
U37_GG(T178, T128, T179, T180, addc66_out_ga(T178, T160)) → U38_GG(T178, T128, T179, T180, notEqc51_in_gg(T160, T160))
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → U39_GG(T178, T128, T179, T180, notEq51_in_gg(T178, T179))
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → NOTEQ51_IN_GG(T178, T179)
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → U40_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T179))
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → U41_GG(T178, T128, T179, T180, add92_in_ga(T179, X276))
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → ADD92_IN_GA(T179, X276)
ADD92_IN_GA(s(T188), s(X307)) → U7_GA(T188, X307, add92_in_ga(T188, X307))
ADD92_IN_GA(s(T188), s(X307)) → ADD92_IN_GA(T188, X307)
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → U42_GG(T178, T128, T179, T180, addc92_in_ga(T179, T185))
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → U43_GG(T178, T128, T179, T180, notEq51_in_gg(T178, T185))
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → NOTEQ51_IN_GG(T178, T185)
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → U44_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T185))
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → U45_GG(T178, T128, T179, T180, add92_in_ga(T178, X277))
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → ADD92_IN_GA(T178, X277)
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → U46_GG(T178, T128, T179, T180, addc92_in_ga(T178, T193))
U46_GG(T178, T128, T179, T180, addc92_out_ga(T178, T193)) → U47_GG(T178, T128, T179, T180, notEq51_in_gg(T179, T193))
U46_GG(T178, T128, T179, T180, addc92_out_ga(T178, T193)) → NOTEQ51_IN_GG(T179, T193)
P40_IN_GG(T211, .(T128, .(T179, .(T212, T213)))) → U48_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T128))
U48_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T128)) → U49_GG(T211, T128, T179, T212, T213, addc66_in_ga(T128, T152))
U49_GG(T211, T128, T179, T212, T213, addc66_out_ga(T128, T152)) → U50_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T152))
U50_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T152)) → U51_GG(T211, T128, T179, T212, T213, addc66_in_ga(T211, T160))
U51_GG(T211, T128, T179, T212, T213, addc66_out_ga(T211, T160)) → U52_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T160, T160))
U52_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T160, T160)) → U53_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T179))
U53_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T179)) → U54_GG(T211, T128, T179, T212, T213, addc92_in_ga(T179, T185))
U54_GG(T211, T128, T179, T212, T213, addc92_out_ga(T179, T185)) → U55_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T185))
U55_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T185)) → U56_GG(T211, T128, T179, T212, T213, addc92_in_ga(T211, T193))
U56_GG(T211, T128, T179, T212, T213, addc92_out_ga(T211, T193)) → U57_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T179, T193))
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → U58_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T211, T212))
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → NOTEQ51_IN_GG(T211, T212)
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → U59_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T212))
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → U60_GG(T211, T128, T179, T212, T213, add118_in_ga(T212, X355))
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → ADD118_IN_GA(T212, X355)
ADD118_IN_GA(s(T221), s(X386)) → U8_GA(T221, X386, add118_in_ga(T221, X386))
ADD118_IN_GA(s(T221), s(X386)) → ADD118_IN_GA(T221, X386)
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → U61_GG(T211, T128, T179, T212, T213, addc118_in_ga(T212, T218))
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → U62_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T211, T218))
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → NOTEQ51_IN_GG(T211, T218)
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → U63_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T218))
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → U64_GG(T211, T128, T179, T212, T213, add118_in_ga(T211, X356))
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → ADD118_IN_GA(T211, X356)
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → U65_GG(T211, T128, T179, T212, T213, addc118_in_ga(T211, T226))
U65_GG(T211, T128, T179, T212, T213, addc118_out_ga(T211, T226)) → U66_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T212, T226))
U65_GG(T211, T128, T179, T212, T213, addc118_out_ga(T211, T226)) → NOTEQ51_IN_GG(T212, T226)
P40_IN_GG(T244, .(T128, .(T179, .(T212, .(T245, T246))))) → U67_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T128))
U67_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T128)) → U68_GG(T244, T128, T179, T212, T245, T246, addc66_in_ga(T128, T152))
U68_GG(T244, T128, T179, T212, T245, T246, addc66_out_ga(T128, T152)) → U69_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T152))
U69_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T152)) → U70_GG(T244, T128, T179, T212, T245, T246, addc66_in_ga(T244, T160))
U70_GG(T244, T128, T179, T212, T245, T246, addc66_out_ga(T244, T160)) → U71_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T160, T160))
U71_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T160, T160)) → U72_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T179))
U72_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T179)) → U73_GG(T244, T128, T179, T212, T245, T246, addc92_in_ga(T179, T185))
U73_GG(T244, T128, T179, T212, T245, T246, addc92_out_ga(T179, T185)) → U74_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T185))
U74_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T185)) → U75_GG(T244, T128, T179, T212, T245, T246, addc92_in_ga(T244, T193))
U75_GG(T244, T128, T179, T212, T245, T246, addc92_out_ga(T244, T193)) → U76_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T179, T193))
U76_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T179, T193)) → U77_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T212))
U77_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T212)) → U78_GG(T244, T128, T179, T212, T245, T246, addc118_in_ga(T212, T218))
U78_GG(T244, T128, T179, T212, T245, T246, addc118_out_ga(T212, T218)) → U79_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T218))
U79_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T218)) → U80_GG(T244, T128, T179, T212, T245, T246, addc118_in_ga(T244, T226))
U80_GG(T244, T128, T179, T212, T245, T246, addc118_out_ga(T244, T226)) → U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T212, T226))
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → U82_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T244, T245))
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → NOTEQ51_IN_GG(T244, T245)
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T245))
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → U84_GG(T244, T128, T179, T212, T245, T246, add144_in_ga(T245, X434))
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → ADD144_IN_GA(T245, X434)
ADD144_IN_GA(s(T254), s(X465)) → U9_GA(T254, X465, add144_in_ga(T254, X465))
ADD144_IN_GA(s(T254), s(X465)) → ADD144_IN_GA(T254, X465)
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → U85_GG(T244, T128, T179, T212, T245, T246, addc144_in_ga(T245, T251))
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → U86_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T244, T251))
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → NOTEQ51_IN_GG(T244, T251)
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T251))
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → U88_GG(T244, T128, T179, T212, T245, T246, add144_in_ga(T244, X435))
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → ADD144_IN_GA(T244, X435)
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → U89_GG(T244, T128, T179, T212, T245, T246, addc144_in_ga(T244, T259))
U89_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T244, T259)) → U90_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T245, T259))
U89_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T244, T259)) → NOTEQ51_IN_GG(T245, T259)
P40_IN_GG(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) → U91_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T128))
U91_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T128)) → U92_GG(T277, T128, T179, T212, T245, T278, T279, addc66_in_ga(T128, T152))
U92_GG(T277, T128, T179, T212, T245, T278, T279, addc66_out_ga(T128, T152)) → U93_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T152))
U93_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T152)) → U94_GG(T277, T128, T179, T212, T245, T278, T279, addc66_in_ga(T277, T160))
U94_GG(T277, T128, T179, T212, T245, T278, T279, addc66_out_ga(T277, T160)) → U95_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T160, T160))
U95_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T160, T160)) → U96_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T179))
U96_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T179)) → U97_GG(T277, T128, T179, T212, T245, T278, T279, addc92_in_ga(T179, T185))
U97_GG(T277, T128, T179, T212, T245, T278, T279, addc92_out_ga(T179, T185)) → U98_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T185))
U98_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T185)) → U99_GG(T277, T128, T179, T212, T245, T278, T279, addc92_in_ga(T277, T193))
U99_GG(T277, T128, T179, T212, T245, T278, T279, addc92_out_ga(T277, T193)) → U100_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T179, T193))
U100_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T179, T193)) → U101_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T212))
U101_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T212)) → U102_GG(T277, T128, T179, T212, T245, T278, T279, addc118_in_ga(T212, T218))
U102_GG(T277, T128, T179, T212, T245, T278, T279, addc118_out_ga(T212, T218)) → U103_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T218))
U103_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T218)) → U104_GG(T277, T128, T179, T212, T245, T278, T279, addc118_in_ga(T277, T226))
U104_GG(T277, T128, T179, T212, T245, T278, T279, addc118_out_ga(T277, T226)) → U105_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T212, T226))
U105_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T212, T226)) → U106_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T245))
U106_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T245)) → U107_GG(T277, T128, T179, T212, T245, T278, T279, addc144_in_ga(T245, T251))
U107_GG(T277, T128, T179, T212, T245, T278, T279, addc144_out_ga(T245, T251)) → U108_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T251))
U108_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T251)) → U109_GG(T277, T128, T179, T212, T245, T278, T279, addc144_in_ga(T277, T259))
U109_GG(T277, T128, T179, T212, T245, T278, T279, addc144_out_ga(T277, T259)) → U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T245, T259))
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → U111_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T277, T278))
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → NOTEQ51_IN_GG(T277, T278)
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T278))
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → U113_GG(T277, T128, T179, T212, T245, T278, T279, add170_in_ga(T278, X513))
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → ADD170_IN_GA(T278, X513)
ADD170_IN_GA(s(T287), s(X544)) → U10_GA(T287, X544, add170_in_ga(T287, X544))
ADD170_IN_GA(s(T287), s(X544)) → ADD170_IN_GA(T287, X544)
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_in_ga(T278, T284))
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → U115_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T277, T284))
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → NOTEQ51_IN_GG(T277, T284)
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T284))
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → U117_GG(T277, T128, T179, T212, T245, T278, T279, add170_in_ga(T277, X514))
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → ADD170_IN_GA(T277, X514)
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_in_ga(T277, T292))
U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T277, T292)) → U119_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T278, T292))
U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T277, T292)) → NOTEQ51_IN_GG(T278, T292)
P40_IN_GG(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) → U120_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T128))
U120_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T128)) → U121_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_in_ga(T128, T152))
U121_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_out_ga(T128, T152)) → U122_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T152))
U122_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T152)) → U123_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_in_ga(T310, T160))
U123_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_out_ga(T310, T160)) → U124_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T160, T160))
U124_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T160, T160)) → U125_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T179))
U125_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T179)) → U126_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_in_ga(T179, T185))
U126_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_out_ga(T179, T185)) → U127_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T185))
U127_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T185)) → U128_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_in_ga(T310, T193))
U128_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_out_ga(T310, T193)) → U129_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T179, T193))
U129_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T179, T193)) → U130_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T212))
U130_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T212)) → U131_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_in_ga(T212, T218))
U131_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_out_ga(T212, T218)) → U132_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T218))
U132_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T218)) → U133_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_in_ga(T310, T226))
U133_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_out_ga(T310, T226)) → U134_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T212, T226))
U134_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T212, T226)) → U135_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T245))
U135_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T245)) → U136_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_in_ga(T245, T251))
U136_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_out_ga(T245, T251)) → U137_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T251))
U137_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T251)) → U138_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_in_ga(T310, T259))
U138_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_out_ga(T310, T259)) → U139_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T245, T259))
U139_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T245, T259)) → U140_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T278))
U140_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T278)) → U141_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_in_ga(T278, T284))
U141_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_out_ga(T278, T284)) → U142_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T284))
U142_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T284)) → U143_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_in_ga(T310, T292))
U143_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_out_ga(T310, T292)) → U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T278, T292))
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → U145_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T310, T311))
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → NOTEQ51_IN_GG(T310, T311)
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T311))
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → U147_GG(T310, T128, T179, T212, T245, T278, T311, T312, add196_in_ga(T311, X592))
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → ADD196_IN_GA(T311, X592)
ADD196_IN_GA(s(T320), s(X623)) → U11_GA(T320, X623, add196_in_ga(T320, X623))
ADD196_IN_GA(s(T320), s(X623)) → ADD196_IN_GA(T320, X623)
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_in_ga(T311, T317))
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → U149_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T310, T317))
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → NOTEQ51_IN_GG(T310, T317)
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T317))
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → U151_GG(T310, T128, T179, T212, T245, T278, T311, T312, add196_in_ga(T310, X593))
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → ADD196_IN_GA(T310, X593)
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_in_ga(T310, T325))
U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T310, T325)) → U153_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T311, T325))
U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T310, T325)) → NOTEQ51_IN_GG(T311, T325)
P40_IN_GG(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U154_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U154_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U155_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U155_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U156_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T152))
U156_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T152)) → U157_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T343, T160))
U157_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T343, T160)) → U158_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T160, T160))
U158_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T160, T160)) → U159_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T179))
U159_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T179)) → U160_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T179, T185))
U160_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T179, T185)) → U161_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T185))
U161_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T185)) → U162_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T343, T193))
U162_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T343, T193)) → U163_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T179, T193))
U163_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T179, T193)) → U164_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T212))
U164_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T212)) → U165_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T212, T218))
U165_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T212, T218)) → U166_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T218))
U166_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T218)) → U167_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T343, T226))
U167_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T343, T226)) → U168_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T212, T226))
U168_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T212, T226)) → U169_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T245))
U169_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T245)) → U170_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T245, T251))
U170_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T245, T251)) → U171_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T251))
U171_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T251)) → U172_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T343, T259))
U172_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T343, T259)) → U173_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T245, T259))
U173_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T245, T259)) → U174_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T278))
U174_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T278)) → U175_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T278, T284))
U175_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T278, T284)) → U176_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T284))
U176_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T284)) → U177_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T343, T292))
U177_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T343, T292)) → U178_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T278, T292))
U178_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T278, T292)) → U179_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T311))
U179_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T311)) → U180_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T311, T317))
U180_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T311, T317)) → U181_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T317))
U181_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T317)) → U182_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U182_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U184_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, p220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → P220_IN_GGAAGG(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → U193_GGAAGG(T343, T344, X671, X672, T345, T348, notEq51_in_gg(T343, T344))
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → NOTEQ51_IN_GG(T343, T344)
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_in_gg(T343, T344))
U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_out_gg(T343, T344)) → U195_GGAAGG(T343, T344, X671, X672, T345, T348, add223_in_ga(T344, X671))
U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_out_gg(T343, T344)) → ADD223_IN_GA(T344, X671)
ADD223_IN_GA(s(T356), s(X704)) → U12_GA(T356, X704, add223_in_ga(T356, X704))
ADD223_IN_GA(s(T356), s(X704)) → ADD223_IN_GA(T356, X704)
P220_IN_GGAAGG(T343, T344, T353, X672, T345, T348) → U196_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_in_gg(T343, T344))
U196_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T344)) → U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_in_ga(T344, T353))
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → U198_GGAAGG(T343, T344, T353, X672, T345, T348, notEq51_in_gg(T343, T353))
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → NOTEQ51_IN_GG(T343, T353)
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_in_gg(T343, T353))
U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T353)) → U200_GGAAGG(T343, T344, T353, X672, T345, T348, add223_in_ga(T343, X672))
U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T353)) → ADD223_IN_GA(T343, X672)
P220_IN_GGAAGG(T343, T344, T353, T361, T345, T348) → U201_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U201_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U202_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U202_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U203_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U203_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U205_GGAAGG(T343, T344, T353, T361, T345, T348, p236_in_ggggg(T344, T361, T343, T345, T348))
U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → P236_IN_GGGGG(T344, T361, T343, T345, T348)
P236_IN_GGGGG(T344, T361, T343, T345, T348) → U14_GGGGG(T344, T361, T343, T345, T348, notEq51_in_gg(T344, T361))
P236_IN_GGGGG(T344, T361, T343, T345, T348) → NOTEQ51_IN_GG(T344, T361)
P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U16_GGGGG(T344, T361, T388, T389, T390, T391, notEq51_in_gg(T388, T389))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → NOTEQ51_IN_GG(T388, T389)
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U18_GGGGG(T344, T361, T388, T389, T390, T391, add249_in_gga(T389, T391, X752))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → ADD249_IN_GGA(T389, T391, X752)
ADD249_IN_GGA(s(T410), T411, s(X783)) → U13_GGA(T410, T411, X783, add249_in_gga(T410, T411, X783))
ADD249_IN_GGA(s(T410), T411, s(X783)) → ADD249_IN_GGA(T410, T411, X783)
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U20_GGGGG(T344, T361, T388, T389, T390, T391, notEq51_in_gg(T388, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → NOTEQ51_IN_GG(T388, T398)
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U22_GGGGG(T344, T361, T388, T389, T390, T391, add249_in_gga(T388, T391, X753))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → ADD249_IN_GGA(T388, T391, X753)
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U24_GGGGG(T344, T361, T388, T389, T390, T391, p236_in_ggggg(T389, T420, T388, T390, s(T391)))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))
P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → U186_GG(T110, T429, T430, p40_in_gg(T429, T430))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
p8_in_agaa(x1, x2, x3, x4)  =  p8_in_agaa(x2)
delete17_in_aga(x1, x2, x3)  =  delete17_in_aga(x2)
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
perm26_in_ga(x1, x2)  =  perm26_in_ga(x1)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
p40_in_gg(x1, x2)  =  p40_in_gg(x1, x2)
notEq51_in_gg(x1, x2)  =  notEq51_in_gg(x1, x2)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
add66_in_ga(x1, x2)  =  add66_in_ga(x1)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
add92_in_ga(x1, x2)  =  add92_in_ga(x1)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
add118_in_ga(x1, x2)  =  add118_in_ga(x1)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
add144_in_ga(x1, x2)  =  add144_in_ga(x1)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
add170_in_ga(x1, x2)  =  add170_in_ga(x1)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
add196_in_ga(x1, x2)  =  add196_in_ga(x1)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
p220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  p220_in_ggaagg(x1, x2, x5, x6)
add223_in_ga(x1, x2)  =  add223_in_ga(x1)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
p236_in_ggggg(x1, x2, x3, x4, x5)  =  p236_in_ggggg(x1, x2, x3, x4, x5)
add249_in_gga(x1, x2, x3)  =  add249_in_gga(x1, x2)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
QUEENS1_IN_A(x1)  =  QUEENS1_IN_A
U206_A(x1, x2, x3)  =  U206_A(x3)
P8_IN_AGAA(x1, x2, x3, x4)  =  P8_IN_AGAA(x2)
U187_AGAA(x1, x2, x3, x4, x5)  =  U187_AGAA(x2, x5)
DELETE17_IN_AGA(x1, x2, x3)  =  DELETE17_IN_AGA(x2)
U1_AGA(x1, x2, x3, x4, x5)  =  U1_AGA(x2, x3, x5)
U188_AGAA(x1, x2, x3, x4, x5)  =  U188_AGAA(x2, x5)
U189_AGAA(x1, x2, x3, x4, x5)  =  U189_AGAA(x1, x2, x3, x5)
PERM26_IN_GA(x1, x2)  =  PERM26_IN_GA(x1)
U2_GA(x1, x2, x3, x4, x5)  =  U2_GA(x1, x2, x5)
U3_GA(x1, x2, x3, x4, x5)  =  U3_GA(x1, x2, x5)
U4_GA(x1, x2, x3, x4, x5)  =  U4_GA(x1, x2, x5)
U190_AGAA(x1, x2, x3, x4, x5)  =  U190_AGAA(x2, x5)
U191_AGAA(x1, x2, x3, x4, x5)  =  U191_AGAA(x1, x2, x3, x5)
U192_AGAA(x1, x2, x3, x4, x5)  =  U192_AGAA(x1, x2, x3, x5)
P40_IN_GG(x1, x2)  =  P40_IN_GG(x1, x2)
U25_GG(x1, x2, x3, x4)  =  U25_GG(x1, x2, x3, x4)
NOTEQ51_IN_GG(x1, x2)  =  NOTEQ51_IN_GG(x1, x2)
U5_GG(x1, x2, x3)  =  U5_GG(x1, x2, x3)
U26_GG(x1, x2, x3, x4)  =  U26_GG(x1, x2, x3, x4)
U27_GG(x1, x2, x3, x4)  =  U27_GG(x1, x2, x3, x4)
ADD66_IN_GA(x1, x2)  =  ADD66_IN_GA(x1)
U6_GA(x1, x2, x3)  =  U6_GA(x1, x3)
U28_GG(x1, x2, x3, x4)  =  U28_GG(x1, x2, x3, x4)
U29_GG(x1, x2, x3, x4)  =  U29_GG(x1, x2, x3, x4)
U30_GG(x1, x2, x3, x4)  =  U30_GG(x1, x2, x3, x4)
U31_GG(x1, x2, x3, x4)  =  U31_GG(x1, x2, x3, x4)
U32_GG(x1, x2, x3, x4)  =  U32_GG(x1, x2, x3, x4)
U33_GG(x1, x2, x3, x4)  =  U33_GG(x1, x2, x3, x4)
U34_GG(x1, x2, x3, x4, x5)  =  U34_GG(x1, x2, x3, x4, x5)
U35_GG(x1, x2, x3, x4, x5)  =  U35_GG(x1, x2, x3, x4, x5)
U36_GG(x1, x2, x3, x4, x5)  =  U36_GG(x1, x2, x3, x4, x5)
U37_GG(x1, x2, x3, x4, x5)  =  U37_GG(x1, x2, x3, x4, x5)
U38_GG(x1, x2, x3, x4, x5)  =  U38_GG(x1, x2, x3, x4, x5)
U39_GG(x1, x2, x3, x4, x5)  =  U39_GG(x1, x2, x3, x4, x5)
U40_GG(x1, x2, x3, x4, x5)  =  U40_GG(x1, x2, x3, x4, x5)
U41_GG(x1, x2, x3, x4, x5)  =  U41_GG(x1, x2, x3, x4, x5)
ADD92_IN_GA(x1, x2)  =  ADD92_IN_GA(x1)
U7_GA(x1, x2, x3)  =  U7_GA(x1, x3)
U42_GG(x1, x2, x3, x4, x5)  =  U42_GG(x1, x2, x3, x4, x5)
U43_GG(x1, x2, x3, x4, x5)  =  U43_GG(x1, x2, x3, x4, x5)
U44_GG(x1, x2, x3, x4, x5)  =  U44_GG(x1, x2, x3, x4, x5)
U45_GG(x1, x2, x3, x4, x5)  =  U45_GG(x1, x2, x3, x4, x5)
U46_GG(x1, x2, x3, x4, x5)  =  U46_GG(x1, x2, x3, x4, x5)
U47_GG(x1, x2, x3, x4, x5)  =  U47_GG(x1, x2, x3, x4, x5)
U48_GG(x1, x2, x3, x4, x5, x6)  =  U48_GG(x1, x2, x3, x4, x5, x6)
U49_GG(x1, x2, x3, x4, x5, x6)  =  U49_GG(x1, x2, x3, x4, x5, x6)
U50_GG(x1, x2, x3, x4, x5, x6)  =  U50_GG(x1, x2, x3, x4, x5, x6)
U51_GG(x1, x2, x3, x4, x5, x6)  =  U51_GG(x1, x2, x3, x4, x5, x6)
U52_GG(x1, x2, x3, x4, x5, x6)  =  U52_GG(x1, x2, x3, x4, x5, x6)
U53_GG(x1, x2, x3, x4, x5, x6)  =  U53_GG(x1, x2, x3, x4, x5, x6)
U54_GG(x1, x2, x3, x4, x5, x6)  =  U54_GG(x1, x2, x3, x4, x5, x6)
U55_GG(x1, x2, x3, x4, x5, x6)  =  U55_GG(x1, x2, x3, x4, x5, x6)
U56_GG(x1, x2, x3, x4, x5, x6)  =  U56_GG(x1, x2, x3, x4, x5, x6)
U57_GG(x1, x2, x3, x4, x5, x6)  =  U57_GG(x1, x2, x3, x4, x5, x6)
U58_GG(x1, x2, x3, x4, x5, x6)  =  U58_GG(x1, x2, x3, x4, x5, x6)
U59_GG(x1, x2, x3, x4, x5, x6)  =  U59_GG(x1, x2, x3, x4, x5, x6)
U60_GG(x1, x2, x3, x4, x5, x6)  =  U60_GG(x1, x2, x3, x4, x5, x6)
ADD118_IN_GA(x1, x2)  =  ADD118_IN_GA(x1)
U8_GA(x1, x2, x3)  =  U8_GA(x1, x3)
U61_GG(x1, x2, x3, x4, x5, x6)  =  U61_GG(x1, x2, x3, x4, x5, x6)
U62_GG(x1, x2, x3, x4, x5, x6)  =  U62_GG(x1, x2, x3, x4, x5, x6)
U63_GG(x1, x2, x3, x4, x5, x6)  =  U63_GG(x1, x2, x3, x4, x5, x6)
U64_GG(x1, x2, x3, x4, x5, x6)  =  U64_GG(x1, x2, x3, x4, x5, x6)
U65_GG(x1, x2, x3, x4, x5, x6)  =  U65_GG(x1, x2, x3, x4, x5, x6)
U66_GG(x1, x2, x3, x4, x5, x6)  =  U66_GG(x1, x2, x3, x4, x5, x6)
U67_GG(x1, x2, x3, x4, x5, x6, x7)  =  U67_GG(x1, x2, x3, x4, x5, x6, x7)
U68_GG(x1, x2, x3, x4, x5, x6, x7)  =  U68_GG(x1, x2, x3, x4, x5, x6, x7)
U69_GG(x1, x2, x3, x4, x5, x6, x7)  =  U69_GG(x1, x2, x3, x4, x5, x6, x7)
U70_GG(x1, x2, x3, x4, x5, x6, x7)  =  U70_GG(x1, x2, x3, x4, x5, x6, x7)
U71_GG(x1, x2, x3, x4, x5, x6, x7)  =  U71_GG(x1, x2, x3, x4, x5, x6, x7)
U72_GG(x1, x2, x3, x4, x5, x6, x7)  =  U72_GG(x1, x2, x3, x4, x5, x6, x7)
U73_GG(x1, x2, x3, x4, x5, x6, x7)  =  U73_GG(x1, x2, x3, x4, x5, x6, x7)
U74_GG(x1, x2, x3, x4, x5, x6, x7)  =  U74_GG(x1, x2, x3, x4, x5, x6, x7)
U75_GG(x1, x2, x3, x4, x5, x6, x7)  =  U75_GG(x1, x2, x3, x4, x5, x6, x7)
U76_GG(x1, x2, x3, x4, x5, x6, x7)  =  U76_GG(x1, x2, x3, x4, x5, x6, x7)
U77_GG(x1, x2, x3, x4, x5, x6, x7)  =  U77_GG(x1, x2, x3, x4, x5, x6, x7)
U78_GG(x1, x2, x3, x4, x5, x6, x7)  =  U78_GG(x1, x2, x3, x4, x5, x6, x7)
U79_GG(x1, x2, x3, x4, x5, x6, x7)  =  U79_GG(x1, x2, x3, x4, x5, x6, x7)
U80_GG(x1, x2, x3, x4, x5, x6, x7)  =  U80_GG(x1, x2, x3, x4, x5, x6, x7)
U81_GG(x1, x2, x3, x4, x5, x6, x7)  =  U81_GG(x1, x2, x3, x4, x5, x6, x7)
U82_GG(x1, x2, x3, x4, x5, x6, x7)  =  U82_GG(x1, x2, x3, x4, x5, x6, x7)
U83_GG(x1, x2, x3, x4, x5, x6, x7)  =  U83_GG(x1, x2, x3, x4, x5, x6, x7)
U84_GG(x1, x2, x3, x4, x5, x6, x7)  =  U84_GG(x1, x2, x3, x4, x5, x6, x7)
ADD144_IN_GA(x1, x2)  =  ADD144_IN_GA(x1)
U9_GA(x1, x2, x3)  =  U9_GA(x1, x3)
U85_GG(x1, x2, x3, x4, x5, x6, x7)  =  U85_GG(x1, x2, x3, x4, x5, x6, x7)
U86_GG(x1, x2, x3, x4, x5, x6, x7)  =  U86_GG(x1, x2, x3, x4, x5, x6, x7)
U87_GG(x1, x2, x3, x4, x5, x6, x7)  =  U87_GG(x1, x2, x3, x4, x5, x6, x7)
U88_GG(x1, x2, x3, x4, x5, x6, x7)  =  U88_GG(x1, x2, x3, x4, x5, x6, x7)
U89_GG(x1, x2, x3, x4, x5, x6, x7)  =  U89_GG(x1, x2, x3, x4, x5, x6, x7)
U90_GG(x1, x2, x3, x4, x5, x6, x7)  =  U90_GG(x1, x2, x3, x4, x5, x6, x7)
U91_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U91_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U92_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U92_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U93_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U93_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U94_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U94_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U95_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U95_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U96_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U96_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U97_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U97_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U98_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U98_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U99_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U99_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U100_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U100_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U101_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U101_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U102_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U102_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U103_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U103_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U104_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U104_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U105_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U105_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U106_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U106_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U107_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U107_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U108_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U108_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U109_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U109_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U110_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U110_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U111_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U111_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U112_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U112_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U113_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U113_GG(x1, x2, x3, x4, x5, x6, x7, x8)
ADD170_IN_GA(x1, x2)  =  ADD170_IN_GA(x1)
U10_GA(x1, x2, x3)  =  U10_GA(x1, x3)
U114_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U114_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U115_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U115_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U116_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U116_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U117_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U117_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U118_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U118_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U119_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U119_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U120_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U120_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U121_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U121_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U122_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U122_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U123_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U123_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U124_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U124_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U125_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U125_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U126_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U126_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U127_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U127_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U128_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U128_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U129_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U129_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U130_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U130_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U131_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U131_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U132_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U132_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U133_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U133_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U134_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U134_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U135_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U135_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U136_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U136_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U137_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U137_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U138_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U138_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U139_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U139_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U140_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U140_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U141_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U141_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U142_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U142_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U143_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U143_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U144_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U144_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U145_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U145_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U146_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U146_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U147_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U147_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
ADD196_IN_GA(x1, x2)  =  ADD196_IN_GA(x1)
U11_GA(x1, x2, x3)  =  U11_GA(x1, x3)
U148_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U148_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U149_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U149_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U150_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U150_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U151_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U151_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U152_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U152_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U153_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U153_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U154_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U154_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U155_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U155_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U156_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U156_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U157_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U157_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U158_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U158_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U159_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U159_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U160_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U160_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U161_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U161_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U162_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U162_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U163_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U163_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U164_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U164_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U165_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U165_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U166_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U166_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U167_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U167_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U168_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U168_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U169_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U169_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U170_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U170_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U171_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U171_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U172_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U172_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U173_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U173_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U174_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U174_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U175_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U175_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U176_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U176_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U177_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U177_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U178_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U178_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U179_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U179_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U180_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U180_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U181_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U181_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U182_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U182_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U183_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U183_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U184_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U184_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
P220_IN_GGAAGG(x1, x2, x3, x4, x5, x6)  =  P220_IN_GGAAGG(x1, x2, x5, x6)
U193_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U193_GGAAGG(x1, x2, x5, x6, x7)
U194_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U194_GGAAGG(x1, x2, x5, x6, x7)
U195_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U195_GGAAGG(x1, x2, x5, x6, x7)
ADD223_IN_GA(x1, x2)  =  ADD223_IN_GA(x1)
U12_GA(x1, x2, x3)  =  U12_GA(x1, x3)
U196_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U196_GGAAGG(x1, x2, x5, x6, x7)
U197_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U197_GGAAGG(x1, x2, x5, x6, x7)
U198_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U198_GGAAGG(x1, x2, x5, x6, x7)
U199_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U199_GGAAGG(x1, x2, x5, x6, x7)
U200_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U200_GGAAGG(x1, x2, x5, x6, x7)
U201_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U201_GGAAGG(x1, x2, x5, x6, x7)
U202_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U202_GGAAGG(x1, x2, x5, x6, x7)
U203_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U203_GGAAGG(x1, x2, x5, x6, x7)
U204_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U204_GGAAGG(x1, x2, x5, x6, x7)
U205_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U205_GGAAGG(x1, x2, x5, x6, x7)
P236_IN_GGGGG(x1, x2, x3, x4, x5)  =  P236_IN_GGGGG(x1, x2, x3, x4, x5)
U14_GGGGG(x1, x2, x3, x4, x5, x6)  =  U14_GGGGG(x1, x2, x3, x4, x5, x6)
U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U16_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U16_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U18_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U18_GGGGG(x1, x2, x3, x4, x5, x6, x7)
ADD249_IN_GGA(x1, x2, x3)  =  ADD249_IN_GGA(x1, x2)
U13_GGA(x1, x2, x3, x4)  =  U13_GGA(x1, x2, x4)
U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U20_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U20_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U22_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U22_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U24_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U24_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U185_GG(x1, x2, x3, x4)  =  U185_GG(x1, x2, x3, x4)
U186_GG(x1, x2, x3, x4)  =  U186_GG(x1, x2, x3, x4)

We have to consider all (P,R,Pi)-chains

Infinitary Constructor Rewriting Termination of PiDP implies Termination of TRIPLES

(4) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

QUEENS1_IN_A(.(T11, T12)) → U206_A(T11, T12, p8_in_agaa(T11, .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), []))))))), X16, T12))
QUEENS1_IN_A(.(T11, T12)) → P8_IN_AGAA(T11, .(s(s(0)), .(s(s(s(0))), .(s(s(s(s(0)))), .(s(s(s(s(s(0))))), .(s(s(s(s(s(s(0)))))), .(s(s(s(s(s(s(s(0))))))), .(s(s(s(s(s(s(s(s(0)))))))), []))))))), X16, T12)
P8_IN_AGAA(T48, T47, .(s(0), X63), T12) → U187_AGAA(T48, T47, X63, T12, delete17_in_aga(T48, T47, X63))
P8_IN_AGAA(T48, T47, .(s(0), X63), T12) → DELETE17_IN_AGA(T48, T47, X63)
DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → U1_AGA(T72, T70, T71, X94, delete17_in_aga(T72, T71, X94))
DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → DELETE17_IN_AGA(T72, T71, X94)
P8_IN_AGAA(T22, T15, T20, T21) → U188_AGAA(T22, T15, T20, T21, deletec9_in_aga(T22, T15, T20))
U188_AGAA(T22, T15, T20, T21, deletec9_out_aga(T22, T15, T20)) → U189_AGAA(T22, T15, T20, T21, perm26_in_ga(T20, T21))
U188_AGAA(T22, T15, T20, T21, deletec9_out_aga(T22, T15, T20)) → PERM26_IN_GA(T20, T21)
PERM26_IN_GA(.(T86, T87), .(T90, T91)) → U2_GA(T86, T87, T90, T91, delete17_in_aga(T90, .(T86, T87), X116))
PERM26_IN_GA(.(T86, T87), .(T90, T91)) → DELETE17_IN_AGA(T90, .(T86, T87), X116)
PERM26_IN_GA(.(T86, T87), .(T90, T97)) → U3_GA(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U4_GA(T86, T87, T90, T97, perm26_in_ga(T96, T97))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96, T97)
P8_IN_AGAA(T110, T15, T20, T111) → U190_AGAA(T110, T15, T20, T111, deletec9_in_aga(T110, T15, T20))
U190_AGAA(T110, T15, T20, T111, deletec9_out_aga(T110, T15, T20)) → U191_AGAA(T110, T15, T20, T111, permc26_in_ga(T20, T111))
U191_AGAA(T110, T15, T20, T111, permc26_out_ga(T20, T111)) → U192_AGAA(T110, T15, T20, T111, p40_in_gg(T110, T111))
U191_AGAA(T110, T15, T20, T111, permc26_out_ga(T20, T111)) → P40_IN_GG(T110, T111)
P40_IN_GG(T127, .(T128, T129)) → U25_GG(T127, T128, T129, notEq51_in_gg(T127, T128))
P40_IN_GG(T127, .(T128, T129)) → NOTEQ51_IN_GG(T127, T128)
NOTEQ51_IN_GG(s(T148), s(T149)) → U5_GG(T148, T149, notEq51_in_gg(T148, T149))
NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)
P40_IN_GG(T127, .(T128, T129)) → U26_GG(T127, T128, T129, notEqc51_in_gg(T127, T128))
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → U27_GG(T127, T128, T129, add66_in_ga(T128, X175))
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → ADD66_IN_GA(T128, X175)
ADD66_IN_GA(s(T155), s(X228)) → U6_GA(T155, X228, add66_in_ga(T155, X228))
ADD66_IN_GA(s(T155), s(X228)) → ADD66_IN_GA(T155, X228)
U26_GG(T127, T128, T129, notEqc51_out_gg(T127, T128)) → U28_GG(T127, T128, T129, addc66_in_ga(T128, T152))
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → U29_GG(T127, T128, T129, notEq51_in_gg(T127, T152))
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → NOTEQ51_IN_GG(T127, T152)
U28_GG(T127, T128, T129, addc66_out_ga(T128, T152)) → U30_GG(T127, T128, T129, notEqc51_in_gg(T127, T152))
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → U31_GG(T127, T128, T129, add66_in_ga(T127, X176))
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → ADD66_IN_GA(T127, X176)
U30_GG(T127, T128, T129, notEqc51_out_gg(T127, T152)) → U32_GG(T127, T128, T129, addc66_in_ga(T127, T160))
U32_GG(T127, T128, T129, addc66_out_ga(T127, T160)) → U33_GG(T127, T128, T129, notEq51_in_gg(T160, T160))
U32_GG(T127, T128, T129, addc66_out_ga(T127, T160)) → NOTEQ51_IN_GG(T160, T160)
P40_IN_GG(T178, .(T128, .(T179, T180))) → U34_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T128))
U34_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T128)) → U35_GG(T178, T128, T179, T180, addc66_in_ga(T128, T152))
U35_GG(T178, T128, T179, T180, addc66_out_ga(T128, T152)) → U36_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T152))
U36_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T152)) → U37_GG(T178, T128, T179, T180, addc66_in_ga(T178, T160))
U37_GG(T178, T128, T179, T180, addc66_out_ga(T178, T160)) → U38_GG(T178, T128, T179, T180, notEqc51_in_gg(T160, T160))
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → U39_GG(T178, T128, T179, T180, notEq51_in_gg(T178, T179))
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → NOTEQ51_IN_GG(T178, T179)
U38_GG(T178, T128, T179, T180, notEqc51_out_gg(T160, T160)) → U40_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T179))
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → U41_GG(T178, T128, T179, T180, add92_in_ga(T179, X276))
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → ADD92_IN_GA(T179, X276)
ADD92_IN_GA(s(T188), s(X307)) → U7_GA(T188, X307, add92_in_ga(T188, X307))
ADD92_IN_GA(s(T188), s(X307)) → ADD92_IN_GA(T188, X307)
U40_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T179)) → U42_GG(T178, T128, T179, T180, addc92_in_ga(T179, T185))
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → U43_GG(T178, T128, T179, T180, notEq51_in_gg(T178, T185))
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → NOTEQ51_IN_GG(T178, T185)
U42_GG(T178, T128, T179, T180, addc92_out_ga(T179, T185)) → U44_GG(T178, T128, T179, T180, notEqc51_in_gg(T178, T185))
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → U45_GG(T178, T128, T179, T180, add92_in_ga(T178, X277))
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → ADD92_IN_GA(T178, X277)
U44_GG(T178, T128, T179, T180, notEqc51_out_gg(T178, T185)) → U46_GG(T178, T128, T179, T180, addc92_in_ga(T178, T193))
U46_GG(T178, T128, T179, T180, addc92_out_ga(T178, T193)) → U47_GG(T178, T128, T179, T180, notEq51_in_gg(T179, T193))
U46_GG(T178, T128, T179, T180, addc92_out_ga(T178, T193)) → NOTEQ51_IN_GG(T179, T193)
P40_IN_GG(T211, .(T128, .(T179, .(T212, T213)))) → U48_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T128))
U48_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T128)) → U49_GG(T211, T128, T179, T212, T213, addc66_in_ga(T128, T152))
U49_GG(T211, T128, T179, T212, T213, addc66_out_ga(T128, T152)) → U50_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T152))
U50_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T152)) → U51_GG(T211, T128, T179, T212, T213, addc66_in_ga(T211, T160))
U51_GG(T211, T128, T179, T212, T213, addc66_out_ga(T211, T160)) → U52_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T160, T160))
U52_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T160, T160)) → U53_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T179))
U53_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T179)) → U54_GG(T211, T128, T179, T212, T213, addc92_in_ga(T179, T185))
U54_GG(T211, T128, T179, T212, T213, addc92_out_ga(T179, T185)) → U55_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T185))
U55_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T185)) → U56_GG(T211, T128, T179, T212, T213, addc92_in_ga(T211, T193))
U56_GG(T211, T128, T179, T212, T213, addc92_out_ga(T211, T193)) → U57_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T179, T193))
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → U58_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T211, T212))
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → NOTEQ51_IN_GG(T211, T212)
U57_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T179, T193)) → U59_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T212))
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → U60_GG(T211, T128, T179, T212, T213, add118_in_ga(T212, X355))
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → ADD118_IN_GA(T212, X355)
ADD118_IN_GA(s(T221), s(X386)) → U8_GA(T221, X386, add118_in_ga(T221, X386))
ADD118_IN_GA(s(T221), s(X386)) → ADD118_IN_GA(T221, X386)
U59_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T212)) → U61_GG(T211, T128, T179, T212, T213, addc118_in_ga(T212, T218))
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → U62_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T211, T218))
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → NOTEQ51_IN_GG(T211, T218)
U61_GG(T211, T128, T179, T212, T213, addc118_out_ga(T212, T218)) → U63_GG(T211, T128, T179, T212, T213, notEqc51_in_gg(T211, T218))
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → U64_GG(T211, T128, T179, T212, T213, add118_in_ga(T211, X356))
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → ADD118_IN_GA(T211, X356)
U63_GG(T211, T128, T179, T212, T213, notEqc51_out_gg(T211, T218)) → U65_GG(T211, T128, T179, T212, T213, addc118_in_ga(T211, T226))
U65_GG(T211, T128, T179, T212, T213, addc118_out_ga(T211, T226)) → U66_GG(T211, T128, T179, T212, T213, notEq51_in_gg(T212, T226))
U65_GG(T211, T128, T179, T212, T213, addc118_out_ga(T211, T226)) → NOTEQ51_IN_GG(T212, T226)
P40_IN_GG(T244, .(T128, .(T179, .(T212, .(T245, T246))))) → U67_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T128))
U67_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T128)) → U68_GG(T244, T128, T179, T212, T245, T246, addc66_in_ga(T128, T152))
U68_GG(T244, T128, T179, T212, T245, T246, addc66_out_ga(T128, T152)) → U69_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T152))
U69_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T152)) → U70_GG(T244, T128, T179, T212, T245, T246, addc66_in_ga(T244, T160))
U70_GG(T244, T128, T179, T212, T245, T246, addc66_out_ga(T244, T160)) → U71_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T160, T160))
U71_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T160, T160)) → U72_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T179))
U72_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T179)) → U73_GG(T244, T128, T179, T212, T245, T246, addc92_in_ga(T179, T185))
U73_GG(T244, T128, T179, T212, T245, T246, addc92_out_ga(T179, T185)) → U74_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T185))
U74_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T185)) → U75_GG(T244, T128, T179, T212, T245, T246, addc92_in_ga(T244, T193))
U75_GG(T244, T128, T179, T212, T245, T246, addc92_out_ga(T244, T193)) → U76_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T179, T193))
U76_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T179, T193)) → U77_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T212))
U77_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T212)) → U78_GG(T244, T128, T179, T212, T245, T246, addc118_in_ga(T212, T218))
U78_GG(T244, T128, T179, T212, T245, T246, addc118_out_ga(T212, T218)) → U79_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T218))
U79_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T218)) → U80_GG(T244, T128, T179, T212, T245, T246, addc118_in_ga(T244, T226))
U80_GG(T244, T128, T179, T212, T245, T246, addc118_out_ga(T244, T226)) → U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T212, T226))
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → U82_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T244, T245))
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → NOTEQ51_IN_GG(T244, T245)
U81_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T212, T226)) → U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T245))
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → U84_GG(T244, T128, T179, T212, T245, T246, add144_in_ga(T245, X434))
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → ADD144_IN_GA(T245, X434)
ADD144_IN_GA(s(T254), s(X465)) → U9_GA(T254, X465, add144_in_ga(T254, X465))
ADD144_IN_GA(s(T254), s(X465)) → ADD144_IN_GA(T254, X465)
U83_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T245)) → U85_GG(T244, T128, T179, T212, T245, T246, addc144_in_ga(T245, T251))
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → U86_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T244, T251))
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → NOTEQ51_IN_GG(T244, T251)
U85_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T245, T251)) → U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_in_gg(T244, T251))
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → U88_GG(T244, T128, T179, T212, T245, T246, add144_in_ga(T244, X435))
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → ADD144_IN_GA(T244, X435)
U87_GG(T244, T128, T179, T212, T245, T246, notEqc51_out_gg(T244, T251)) → U89_GG(T244, T128, T179, T212, T245, T246, addc144_in_ga(T244, T259))
U89_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T244, T259)) → U90_GG(T244, T128, T179, T212, T245, T246, notEq51_in_gg(T245, T259))
U89_GG(T244, T128, T179, T212, T245, T246, addc144_out_ga(T244, T259)) → NOTEQ51_IN_GG(T245, T259)
P40_IN_GG(T277, .(T128, .(T179, .(T212, .(T245, .(T278, T279)))))) → U91_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T128))
U91_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T128)) → U92_GG(T277, T128, T179, T212, T245, T278, T279, addc66_in_ga(T128, T152))
U92_GG(T277, T128, T179, T212, T245, T278, T279, addc66_out_ga(T128, T152)) → U93_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T152))
U93_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T152)) → U94_GG(T277, T128, T179, T212, T245, T278, T279, addc66_in_ga(T277, T160))
U94_GG(T277, T128, T179, T212, T245, T278, T279, addc66_out_ga(T277, T160)) → U95_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T160, T160))
U95_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T160, T160)) → U96_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T179))
U96_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T179)) → U97_GG(T277, T128, T179, T212, T245, T278, T279, addc92_in_ga(T179, T185))
U97_GG(T277, T128, T179, T212, T245, T278, T279, addc92_out_ga(T179, T185)) → U98_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T185))
U98_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T185)) → U99_GG(T277, T128, T179, T212, T245, T278, T279, addc92_in_ga(T277, T193))
U99_GG(T277, T128, T179, T212, T245, T278, T279, addc92_out_ga(T277, T193)) → U100_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T179, T193))
U100_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T179, T193)) → U101_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T212))
U101_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T212)) → U102_GG(T277, T128, T179, T212, T245, T278, T279, addc118_in_ga(T212, T218))
U102_GG(T277, T128, T179, T212, T245, T278, T279, addc118_out_ga(T212, T218)) → U103_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T218))
U103_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T218)) → U104_GG(T277, T128, T179, T212, T245, T278, T279, addc118_in_ga(T277, T226))
U104_GG(T277, T128, T179, T212, T245, T278, T279, addc118_out_ga(T277, T226)) → U105_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T212, T226))
U105_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T212, T226)) → U106_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T245))
U106_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T245)) → U107_GG(T277, T128, T179, T212, T245, T278, T279, addc144_in_ga(T245, T251))
U107_GG(T277, T128, T179, T212, T245, T278, T279, addc144_out_ga(T245, T251)) → U108_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T251))
U108_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T251)) → U109_GG(T277, T128, T179, T212, T245, T278, T279, addc144_in_ga(T277, T259))
U109_GG(T277, T128, T179, T212, T245, T278, T279, addc144_out_ga(T277, T259)) → U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T245, T259))
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → U111_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T277, T278))
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → NOTEQ51_IN_GG(T277, T278)
U110_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T245, T259)) → U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T278))
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → U113_GG(T277, T128, T179, T212, T245, T278, T279, add170_in_ga(T278, X513))
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → ADD170_IN_GA(T278, X513)
ADD170_IN_GA(s(T287), s(X544)) → U10_GA(T287, X544, add170_in_ga(T287, X544))
ADD170_IN_GA(s(T287), s(X544)) → ADD170_IN_GA(T287, X544)
U112_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T278)) → U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_in_ga(T278, T284))
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → U115_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T277, T284))
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → NOTEQ51_IN_GG(T277, T284)
U114_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T278, T284)) → U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_in_gg(T277, T284))
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → U117_GG(T277, T128, T179, T212, T245, T278, T279, add170_in_ga(T277, X514))
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → ADD170_IN_GA(T277, X514)
U116_GG(T277, T128, T179, T212, T245, T278, T279, notEqc51_out_gg(T277, T284)) → U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_in_ga(T277, T292))
U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T277, T292)) → U119_GG(T277, T128, T179, T212, T245, T278, T279, notEq51_in_gg(T278, T292))
U118_GG(T277, T128, T179, T212, T245, T278, T279, addc170_out_ga(T277, T292)) → NOTEQ51_IN_GG(T278, T292)
P40_IN_GG(T310, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, T312))))))) → U120_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T128))
U120_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T128)) → U121_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_in_ga(T128, T152))
U121_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_out_ga(T128, T152)) → U122_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T152))
U122_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T152)) → U123_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_in_ga(T310, T160))
U123_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc66_out_ga(T310, T160)) → U124_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T160, T160))
U124_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T160, T160)) → U125_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T179))
U125_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T179)) → U126_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_in_ga(T179, T185))
U126_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_out_ga(T179, T185)) → U127_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T185))
U127_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T185)) → U128_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_in_ga(T310, T193))
U128_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc92_out_ga(T310, T193)) → U129_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T179, T193))
U129_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T179, T193)) → U130_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T212))
U130_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T212)) → U131_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_in_ga(T212, T218))
U131_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_out_ga(T212, T218)) → U132_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T218))
U132_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T218)) → U133_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_in_ga(T310, T226))
U133_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc118_out_ga(T310, T226)) → U134_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T212, T226))
U134_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T212, T226)) → U135_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T245))
U135_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T245)) → U136_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_in_ga(T245, T251))
U136_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_out_ga(T245, T251)) → U137_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T251))
U137_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T251)) → U138_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_in_ga(T310, T259))
U138_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc144_out_ga(T310, T259)) → U139_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T245, T259))
U139_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T245, T259)) → U140_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T278))
U140_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T278)) → U141_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_in_ga(T278, T284))
U141_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_out_ga(T278, T284)) → U142_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T284))
U142_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T284)) → U143_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_in_ga(T310, T292))
U143_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc170_out_ga(T310, T292)) → U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T278, T292))
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → U145_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T310, T311))
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → NOTEQ51_IN_GG(T310, T311)
U144_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T278, T292)) → U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T311))
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → U147_GG(T310, T128, T179, T212, T245, T278, T311, T312, add196_in_ga(T311, X592))
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → ADD196_IN_GA(T311, X592)
ADD196_IN_GA(s(T320), s(X623)) → U11_GA(T320, X623, add196_in_ga(T320, X623))
ADD196_IN_GA(s(T320), s(X623)) → ADD196_IN_GA(T320, X623)
U146_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T311)) → U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_in_ga(T311, T317))
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → U149_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T310, T317))
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → NOTEQ51_IN_GG(T310, T317)
U148_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T311, T317)) → U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_in_gg(T310, T317))
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → U151_GG(T310, T128, T179, T212, T245, T278, T311, T312, add196_in_ga(T310, X593))
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → ADD196_IN_GA(T310, X593)
U150_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEqc51_out_gg(T310, T317)) → U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_in_ga(T310, T325))
U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T310, T325)) → U153_GG(T310, T128, T179, T212, T245, T278, T311, T312, notEq51_in_gg(T311, T325))
U152_GG(T310, T128, T179, T212, T245, T278, T311, T312, addc196_out_ga(T310, T325)) → NOTEQ51_IN_GG(T311, T325)
P40_IN_GG(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U154_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U154_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U155_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U155_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U156_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T152))
U156_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T152)) → U157_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T343, T160))
U157_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T343, T160)) → U158_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T160, T160))
U158_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T160, T160)) → U159_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T179))
U159_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T179)) → U160_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T179, T185))
U160_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T179, T185)) → U161_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T185))
U161_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T185)) → U162_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T343, T193))
U162_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T343, T193)) → U163_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T179, T193))
U163_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T179, T193)) → U164_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T212))
U164_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T212)) → U165_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T212, T218))
U165_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T212, T218)) → U166_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T218))
U166_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T218)) → U167_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T343, T226))
U167_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T343, T226)) → U168_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T212, T226))
U168_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T212, T226)) → U169_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T245))
U169_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T245)) → U170_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T245, T251))
U170_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T245, T251)) → U171_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T251))
U171_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T251)) → U172_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T343, T259))
U172_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T343, T259)) → U173_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T245, T259))
U173_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T245, T259)) → U174_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T278))
U174_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T278)) → U175_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T278, T284))
U175_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T278, T284)) → U176_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T284))
U176_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T284)) → U177_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T343, T292))
U177_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T343, T292)) → U178_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T278, T292))
U178_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T278, T292)) → U179_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T311))
U179_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T311)) → U180_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T311, T317))
U180_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T311, T317)) → U181_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T317))
U181_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T317)) → U182_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U182_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U184_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, p220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
U183_GG(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → P220_IN_GGAAGG(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → U193_GGAAGG(T343, T344, X671, X672, T345, T348, notEq51_in_gg(T343, T344))
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → NOTEQ51_IN_GG(T343, T344)
P220_IN_GGAAGG(T343, T344, X671, X672, T345, T348) → U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_in_gg(T343, T344))
U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_out_gg(T343, T344)) → U195_GGAAGG(T343, T344, X671, X672, T345, T348, add223_in_ga(T344, X671))
U194_GGAAGG(T343, T344, X671, X672, T345, T348, notEqc51_out_gg(T343, T344)) → ADD223_IN_GA(T344, X671)
ADD223_IN_GA(s(T356), s(X704)) → U12_GA(T356, X704, add223_in_ga(T356, X704))
ADD223_IN_GA(s(T356), s(X704)) → ADD223_IN_GA(T356, X704)
P220_IN_GGAAGG(T343, T344, T353, X672, T345, T348) → U196_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_in_gg(T343, T344))
U196_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T344)) → U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_in_ga(T344, T353))
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → U198_GGAAGG(T343, T344, T353, X672, T345, T348, notEq51_in_gg(T343, T353))
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → NOTEQ51_IN_GG(T343, T353)
U197_GGAAGG(T343, T344, T353, X672, T345, T348, addc223_out_ga(T344, T353)) → U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_in_gg(T343, T353))
U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T353)) → U200_GGAAGG(T343, T344, T353, X672, T345, T348, add223_in_ga(T343, X672))
U199_GGAAGG(T343, T344, T353, X672, T345, T348, notEqc51_out_gg(T343, T353)) → ADD223_IN_GA(T343, X672)
P220_IN_GGAAGG(T343, T344, T353, T361, T345, T348) → U201_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U201_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U202_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U202_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U203_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U203_GGAAGG(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U205_GGAAGG(T343, T344, T353, T361, T345, T348, p236_in_ggggg(T344, T361, T343, T345, T348))
U204_GGAAGG(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → P236_IN_GGGGG(T344, T361, T343, T345, T348)
P236_IN_GGGGG(T344, T361, T343, T345, T348) → U14_GGGGG(T344, T361, T343, T345, T348, notEq51_in_gg(T344, T361))
P236_IN_GGGGG(T344, T361, T343, T345, T348) → NOTEQ51_IN_GG(T344, T361)
P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U16_GGGGG(T344, T361, T388, T389, T390, T391, notEq51_in_gg(T388, T389))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → NOTEQ51_IN_GG(T388, T389)
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U18_GGGGG(T344, T361, T388, T389, T390, T391, add249_in_gga(T389, T391, X752))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → ADD249_IN_GGA(T389, T391, X752)
ADD249_IN_GGA(s(T410), T411, s(X783)) → U13_GGA(T410, T411, X783, add249_in_gga(T410, T411, X783))
ADD249_IN_GGA(s(T410), T411, s(X783)) → ADD249_IN_GGA(T410, T411, X783)
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U20_GGGGG(T344, T361, T388, T389, T390, T391, notEq51_in_gg(T388, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → NOTEQ51_IN_GG(T388, T398)
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U22_GGGGG(T344, T361, T388, T389, T390, T391, add249_in_gga(T388, T391, X753))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → ADD249_IN_GGA(T388, T391, X753)
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U24_GGGGG(T344, T361, T388, T389, T390, T391, p236_in_ggggg(T389, T420, T388, T390, s(T391)))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))
P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → U186_GG(T110, T429, T430, p40_in_gg(T429, T430))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
p8_in_agaa(x1, x2, x3, x4)  =  p8_in_agaa(x2)
delete17_in_aga(x1, x2, x3)  =  delete17_in_aga(x2)
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
perm26_in_ga(x1, x2)  =  perm26_in_ga(x1)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
p40_in_gg(x1, x2)  =  p40_in_gg(x1, x2)
notEq51_in_gg(x1, x2)  =  notEq51_in_gg(x1, x2)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
add66_in_ga(x1, x2)  =  add66_in_ga(x1)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
add92_in_ga(x1, x2)  =  add92_in_ga(x1)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
add118_in_ga(x1, x2)  =  add118_in_ga(x1)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
add144_in_ga(x1, x2)  =  add144_in_ga(x1)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
add170_in_ga(x1, x2)  =  add170_in_ga(x1)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
add196_in_ga(x1, x2)  =  add196_in_ga(x1)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
p220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  p220_in_ggaagg(x1, x2, x5, x6)
add223_in_ga(x1, x2)  =  add223_in_ga(x1)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
p236_in_ggggg(x1, x2, x3, x4, x5)  =  p236_in_ggggg(x1, x2, x3, x4, x5)
add249_in_gga(x1, x2, x3)  =  add249_in_gga(x1, x2)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
QUEENS1_IN_A(x1)  =  QUEENS1_IN_A
U206_A(x1, x2, x3)  =  U206_A(x3)
P8_IN_AGAA(x1, x2, x3, x4)  =  P8_IN_AGAA(x2)
U187_AGAA(x1, x2, x3, x4, x5)  =  U187_AGAA(x2, x5)
DELETE17_IN_AGA(x1, x2, x3)  =  DELETE17_IN_AGA(x2)
U1_AGA(x1, x2, x3, x4, x5)  =  U1_AGA(x2, x3, x5)
U188_AGAA(x1, x2, x3, x4, x5)  =  U188_AGAA(x2, x5)
U189_AGAA(x1, x2, x3, x4, x5)  =  U189_AGAA(x1, x2, x3, x5)
PERM26_IN_GA(x1, x2)  =  PERM26_IN_GA(x1)
U2_GA(x1, x2, x3, x4, x5)  =  U2_GA(x1, x2, x5)
U3_GA(x1, x2, x3, x4, x5)  =  U3_GA(x1, x2, x5)
U4_GA(x1, x2, x3, x4, x5)  =  U4_GA(x1, x2, x5)
U190_AGAA(x1, x2, x3, x4, x5)  =  U190_AGAA(x2, x5)
U191_AGAA(x1, x2, x3, x4, x5)  =  U191_AGAA(x1, x2, x3, x5)
U192_AGAA(x1, x2, x3, x4, x5)  =  U192_AGAA(x1, x2, x3, x5)
P40_IN_GG(x1, x2)  =  P40_IN_GG(x1, x2)
U25_GG(x1, x2, x3, x4)  =  U25_GG(x1, x2, x3, x4)
NOTEQ51_IN_GG(x1, x2)  =  NOTEQ51_IN_GG(x1, x2)
U5_GG(x1, x2, x3)  =  U5_GG(x1, x2, x3)
U26_GG(x1, x2, x3, x4)  =  U26_GG(x1, x2, x3, x4)
U27_GG(x1, x2, x3, x4)  =  U27_GG(x1, x2, x3, x4)
ADD66_IN_GA(x1, x2)  =  ADD66_IN_GA(x1)
U6_GA(x1, x2, x3)  =  U6_GA(x1, x3)
U28_GG(x1, x2, x3, x4)  =  U28_GG(x1, x2, x3, x4)
U29_GG(x1, x2, x3, x4)  =  U29_GG(x1, x2, x3, x4)
U30_GG(x1, x2, x3, x4)  =  U30_GG(x1, x2, x3, x4)
U31_GG(x1, x2, x3, x4)  =  U31_GG(x1, x2, x3, x4)
U32_GG(x1, x2, x3, x4)  =  U32_GG(x1, x2, x3, x4)
U33_GG(x1, x2, x3, x4)  =  U33_GG(x1, x2, x3, x4)
U34_GG(x1, x2, x3, x4, x5)  =  U34_GG(x1, x2, x3, x4, x5)
U35_GG(x1, x2, x3, x4, x5)  =  U35_GG(x1, x2, x3, x4, x5)
U36_GG(x1, x2, x3, x4, x5)  =  U36_GG(x1, x2, x3, x4, x5)
U37_GG(x1, x2, x3, x4, x5)  =  U37_GG(x1, x2, x3, x4, x5)
U38_GG(x1, x2, x3, x4, x5)  =  U38_GG(x1, x2, x3, x4, x5)
U39_GG(x1, x2, x3, x4, x5)  =  U39_GG(x1, x2, x3, x4, x5)
U40_GG(x1, x2, x3, x4, x5)  =  U40_GG(x1, x2, x3, x4, x5)
U41_GG(x1, x2, x3, x4, x5)  =  U41_GG(x1, x2, x3, x4, x5)
ADD92_IN_GA(x1, x2)  =  ADD92_IN_GA(x1)
U7_GA(x1, x2, x3)  =  U7_GA(x1, x3)
U42_GG(x1, x2, x3, x4, x5)  =  U42_GG(x1, x2, x3, x4, x5)
U43_GG(x1, x2, x3, x4, x5)  =  U43_GG(x1, x2, x3, x4, x5)
U44_GG(x1, x2, x3, x4, x5)  =  U44_GG(x1, x2, x3, x4, x5)
U45_GG(x1, x2, x3, x4, x5)  =  U45_GG(x1, x2, x3, x4, x5)
U46_GG(x1, x2, x3, x4, x5)  =  U46_GG(x1, x2, x3, x4, x5)
U47_GG(x1, x2, x3, x4, x5)  =  U47_GG(x1, x2, x3, x4, x5)
U48_GG(x1, x2, x3, x4, x5, x6)  =  U48_GG(x1, x2, x3, x4, x5, x6)
U49_GG(x1, x2, x3, x4, x5, x6)  =  U49_GG(x1, x2, x3, x4, x5, x6)
U50_GG(x1, x2, x3, x4, x5, x6)  =  U50_GG(x1, x2, x3, x4, x5, x6)
U51_GG(x1, x2, x3, x4, x5, x6)  =  U51_GG(x1, x2, x3, x4, x5, x6)
U52_GG(x1, x2, x3, x4, x5, x6)  =  U52_GG(x1, x2, x3, x4, x5, x6)
U53_GG(x1, x2, x3, x4, x5, x6)  =  U53_GG(x1, x2, x3, x4, x5, x6)
U54_GG(x1, x2, x3, x4, x5, x6)  =  U54_GG(x1, x2, x3, x4, x5, x6)
U55_GG(x1, x2, x3, x4, x5, x6)  =  U55_GG(x1, x2, x3, x4, x5, x6)
U56_GG(x1, x2, x3, x4, x5, x6)  =  U56_GG(x1, x2, x3, x4, x5, x6)
U57_GG(x1, x2, x3, x4, x5, x6)  =  U57_GG(x1, x2, x3, x4, x5, x6)
U58_GG(x1, x2, x3, x4, x5, x6)  =  U58_GG(x1, x2, x3, x4, x5, x6)
U59_GG(x1, x2, x3, x4, x5, x6)  =  U59_GG(x1, x2, x3, x4, x5, x6)
U60_GG(x1, x2, x3, x4, x5, x6)  =  U60_GG(x1, x2, x3, x4, x5, x6)
ADD118_IN_GA(x1, x2)  =  ADD118_IN_GA(x1)
U8_GA(x1, x2, x3)  =  U8_GA(x1, x3)
U61_GG(x1, x2, x3, x4, x5, x6)  =  U61_GG(x1, x2, x3, x4, x5, x6)
U62_GG(x1, x2, x3, x4, x5, x6)  =  U62_GG(x1, x2, x3, x4, x5, x6)
U63_GG(x1, x2, x3, x4, x5, x6)  =  U63_GG(x1, x2, x3, x4, x5, x6)
U64_GG(x1, x2, x3, x4, x5, x6)  =  U64_GG(x1, x2, x3, x4, x5, x6)
U65_GG(x1, x2, x3, x4, x5, x6)  =  U65_GG(x1, x2, x3, x4, x5, x6)
U66_GG(x1, x2, x3, x4, x5, x6)  =  U66_GG(x1, x2, x3, x4, x5, x6)
U67_GG(x1, x2, x3, x4, x5, x6, x7)  =  U67_GG(x1, x2, x3, x4, x5, x6, x7)
U68_GG(x1, x2, x3, x4, x5, x6, x7)  =  U68_GG(x1, x2, x3, x4, x5, x6, x7)
U69_GG(x1, x2, x3, x4, x5, x6, x7)  =  U69_GG(x1, x2, x3, x4, x5, x6, x7)
U70_GG(x1, x2, x3, x4, x5, x6, x7)  =  U70_GG(x1, x2, x3, x4, x5, x6, x7)
U71_GG(x1, x2, x3, x4, x5, x6, x7)  =  U71_GG(x1, x2, x3, x4, x5, x6, x7)
U72_GG(x1, x2, x3, x4, x5, x6, x7)  =  U72_GG(x1, x2, x3, x4, x5, x6, x7)
U73_GG(x1, x2, x3, x4, x5, x6, x7)  =  U73_GG(x1, x2, x3, x4, x5, x6, x7)
U74_GG(x1, x2, x3, x4, x5, x6, x7)  =  U74_GG(x1, x2, x3, x4, x5, x6, x7)
U75_GG(x1, x2, x3, x4, x5, x6, x7)  =  U75_GG(x1, x2, x3, x4, x5, x6, x7)
U76_GG(x1, x2, x3, x4, x5, x6, x7)  =  U76_GG(x1, x2, x3, x4, x5, x6, x7)
U77_GG(x1, x2, x3, x4, x5, x6, x7)  =  U77_GG(x1, x2, x3, x4, x5, x6, x7)
U78_GG(x1, x2, x3, x4, x5, x6, x7)  =  U78_GG(x1, x2, x3, x4, x5, x6, x7)
U79_GG(x1, x2, x3, x4, x5, x6, x7)  =  U79_GG(x1, x2, x3, x4, x5, x6, x7)
U80_GG(x1, x2, x3, x4, x5, x6, x7)  =  U80_GG(x1, x2, x3, x4, x5, x6, x7)
U81_GG(x1, x2, x3, x4, x5, x6, x7)  =  U81_GG(x1, x2, x3, x4, x5, x6, x7)
U82_GG(x1, x2, x3, x4, x5, x6, x7)  =  U82_GG(x1, x2, x3, x4, x5, x6, x7)
U83_GG(x1, x2, x3, x4, x5, x6, x7)  =  U83_GG(x1, x2, x3, x4, x5, x6, x7)
U84_GG(x1, x2, x3, x4, x5, x6, x7)  =  U84_GG(x1, x2, x3, x4, x5, x6, x7)
ADD144_IN_GA(x1, x2)  =  ADD144_IN_GA(x1)
U9_GA(x1, x2, x3)  =  U9_GA(x1, x3)
U85_GG(x1, x2, x3, x4, x5, x6, x7)  =  U85_GG(x1, x2, x3, x4, x5, x6, x7)
U86_GG(x1, x2, x3, x4, x5, x6, x7)  =  U86_GG(x1, x2, x3, x4, x5, x6, x7)
U87_GG(x1, x2, x3, x4, x5, x6, x7)  =  U87_GG(x1, x2, x3, x4, x5, x6, x7)
U88_GG(x1, x2, x3, x4, x5, x6, x7)  =  U88_GG(x1, x2, x3, x4, x5, x6, x7)
U89_GG(x1, x2, x3, x4, x5, x6, x7)  =  U89_GG(x1, x2, x3, x4, x5, x6, x7)
U90_GG(x1, x2, x3, x4, x5, x6, x7)  =  U90_GG(x1, x2, x3, x4, x5, x6, x7)
U91_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U91_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U92_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U92_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U93_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U93_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U94_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U94_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U95_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U95_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U96_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U96_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U97_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U97_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U98_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U98_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U99_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U99_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U100_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U100_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U101_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U101_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U102_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U102_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U103_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U103_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U104_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U104_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U105_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U105_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U106_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U106_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U107_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U107_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U108_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U108_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U109_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U109_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U110_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U110_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U111_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U111_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U112_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U112_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U113_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U113_GG(x1, x2, x3, x4, x5, x6, x7, x8)
ADD170_IN_GA(x1, x2)  =  ADD170_IN_GA(x1)
U10_GA(x1, x2, x3)  =  U10_GA(x1, x3)
U114_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U114_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U115_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U115_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U116_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U116_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U117_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U117_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U118_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U118_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U119_GG(x1, x2, x3, x4, x5, x6, x7, x8)  =  U119_GG(x1, x2, x3, x4, x5, x6, x7, x8)
U120_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U120_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U121_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U121_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U122_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U122_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U123_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U123_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U124_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U124_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U125_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U125_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U126_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U126_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U127_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U127_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U128_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U128_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U129_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U129_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U130_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U130_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U131_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U131_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U132_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U132_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U133_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U133_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U134_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U134_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U135_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U135_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U136_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U136_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U137_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U137_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U138_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U138_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U139_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U139_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U140_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U140_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U141_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U141_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U142_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U142_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U143_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U143_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U144_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U144_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U145_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U145_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U146_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U146_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U147_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U147_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
ADD196_IN_GA(x1, x2)  =  ADD196_IN_GA(x1)
U11_GA(x1, x2, x3)  =  U11_GA(x1, x3)
U148_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U148_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U149_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U149_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U150_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U150_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U151_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U151_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U152_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U152_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U153_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U153_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U154_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U154_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U155_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U155_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U156_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U156_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U157_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U157_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U158_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U158_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U159_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U159_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U160_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U160_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U161_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U161_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U162_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U162_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U163_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U163_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U164_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U164_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U165_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U165_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U166_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U166_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U167_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U167_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U168_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U168_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U169_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U169_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U170_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U170_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U171_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U171_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U172_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U172_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U173_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U173_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U174_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U174_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U175_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U175_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U176_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U176_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U177_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U177_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U178_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U178_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U179_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U179_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U180_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U180_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U181_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U181_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U182_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U182_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U183_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U183_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U184_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U184_GG(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
P220_IN_GGAAGG(x1, x2, x3, x4, x5, x6)  =  P220_IN_GGAAGG(x1, x2, x5, x6)
U193_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U193_GGAAGG(x1, x2, x5, x6, x7)
U194_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U194_GGAAGG(x1, x2, x5, x6, x7)
U195_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U195_GGAAGG(x1, x2, x5, x6, x7)
ADD223_IN_GA(x1, x2)  =  ADD223_IN_GA(x1)
U12_GA(x1, x2, x3)  =  U12_GA(x1, x3)
U196_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U196_GGAAGG(x1, x2, x5, x6, x7)
U197_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U197_GGAAGG(x1, x2, x5, x6, x7)
U198_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U198_GGAAGG(x1, x2, x5, x6, x7)
U199_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U199_GGAAGG(x1, x2, x5, x6, x7)
U200_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U200_GGAAGG(x1, x2, x5, x6, x7)
U201_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U201_GGAAGG(x1, x2, x5, x6, x7)
U202_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U202_GGAAGG(x1, x2, x5, x6, x7)
U203_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U203_GGAAGG(x1, x2, x5, x6, x7)
U204_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U204_GGAAGG(x1, x2, x5, x6, x7)
U205_GGAAGG(x1, x2, x3, x4, x5, x6, x7)  =  U205_GGAAGG(x1, x2, x5, x6, x7)
P236_IN_GGGGG(x1, x2, x3, x4, x5)  =  P236_IN_GGGGG(x1, x2, x3, x4, x5)
U14_GGGGG(x1, x2, x3, x4, x5, x6)  =  U14_GGGGG(x1, x2, x3, x4, x5, x6)
U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U16_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U16_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U18_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U18_GGGGG(x1, x2, x3, x4, x5, x6, x7)
ADD249_IN_GGA(x1, x2, x3)  =  ADD249_IN_GGA(x1, x2)
U13_GGA(x1, x2, x3, x4)  =  U13_GGA(x1, x2, x4)
U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U20_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U20_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U22_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U22_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U24_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U24_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U185_GG(x1, x2, x3, x4)  =  U185_GG(x1, x2, x3, x4)
U186_GG(x1, x2, x3, x4)  =  U186_GG(x1, x2, x3, x4)

We have to consider all (P,R,Pi)-chains

(5) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 13 SCCs with 245 less nodes.

(6) Complex Obligation (AND)

(7) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD249_IN_GGA(s(T410), T411, s(X783)) → ADD249_IN_GGA(T410, T411, X783)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD249_IN_GGA(x1, x2, x3)  =  ADD249_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(8) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(9) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD249_IN_GGA(s(T410), T411, s(X783)) → ADD249_IN_GGA(T410, T411, X783)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD249_IN_GGA(x1, x2, x3)  =  ADD249_IN_GGA(x1, x2)

We have to consider all (P,R,Pi)-chains

(10) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(11) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD249_IN_GGA(s(T410), T411) → ADD249_IN_GGA(T410, T411)

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

(12) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD249_IN_GGA(s(T410), T411) → ADD249_IN_GGA(T410, T411)
  The graph contains the following edges 1 > 1, 2 >= 2

(13) YES

(14) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD223_IN_GA(s(T356), s(X704)) → ADD223_IN_GA(T356, X704)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD223_IN_GA(x1, x2)  =  ADD223_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(15) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(16) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD223_IN_GA(s(T356), s(X704)) → ADD223_IN_GA(T356, X704)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD223_IN_GA(x1, x2)  =  ADD223_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(17) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(18) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD223_IN_GA(s(T356)) → ADD223_IN_GA(T356)

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

(19) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD223_IN_GA(s(T356)) → ADD223_IN_GA(T356)
  The graph contains the following edges 1 > 1

(20) YES

(21) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD196_IN_GA(s(T320), s(X623)) → ADD196_IN_GA(T320, X623)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD196_IN_GA(x1, x2)  =  ADD196_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(22) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(23) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD196_IN_GA(s(T320), s(X623)) → ADD196_IN_GA(T320, X623)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD196_IN_GA(x1, x2)  =  ADD196_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(24) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(25) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD196_IN_GA(s(T320)) → ADD196_IN_GA(T320)

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

(26) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD196_IN_GA(s(T320)) → ADD196_IN_GA(T320)
  The graph contains the following edges 1 > 1

(27) YES

(28) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD170_IN_GA(s(T287), s(X544)) → ADD170_IN_GA(T287, X544)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD170_IN_GA(x1, x2)  =  ADD170_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(29) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(30) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD170_IN_GA(s(T287), s(X544)) → ADD170_IN_GA(T287, X544)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD170_IN_GA(x1, x2)  =  ADD170_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(31) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(32) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD170_IN_GA(s(T287)) → ADD170_IN_GA(T287)

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

(33) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD170_IN_GA(s(T287)) → ADD170_IN_GA(T287)
  The graph contains the following edges 1 > 1

(34) YES

(35) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD144_IN_GA(s(T254), s(X465)) → ADD144_IN_GA(T254, X465)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD144_IN_GA(x1, x2)  =  ADD144_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(36) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(37) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD144_IN_GA(s(T254), s(X465)) → ADD144_IN_GA(T254, X465)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD144_IN_GA(x1, x2)  =  ADD144_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(38) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(39) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD144_IN_GA(s(T254)) → ADD144_IN_GA(T254)

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

(40) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD144_IN_GA(s(T254)) → ADD144_IN_GA(T254)
  The graph contains the following edges 1 > 1

(41) YES

(42) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD118_IN_GA(s(T221), s(X386)) → ADD118_IN_GA(T221, X386)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD118_IN_GA(x1, x2)  =  ADD118_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(43) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(44) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD118_IN_GA(s(T221), s(X386)) → ADD118_IN_GA(T221, X386)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD118_IN_GA(x1, x2)  =  ADD118_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(45) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(46) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD118_IN_GA(s(T221)) → ADD118_IN_GA(T221)

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

(47) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD118_IN_GA(s(T221)) → ADD118_IN_GA(T221)
  The graph contains the following edges 1 > 1

(48) YES

(49) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD92_IN_GA(s(T188), s(X307)) → ADD92_IN_GA(T188, X307)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD92_IN_GA(x1, x2)  =  ADD92_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(50) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(51) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD92_IN_GA(s(T188), s(X307)) → ADD92_IN_GA(T188, X307)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD92_IN_GA(x1, x2)  =  ADD92_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(52) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(53) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD92_IN_GA(s(T188)) → ADD92_IN_GA(T188)

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

(54) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD92_IN_GA(s(T188)) → ADD92_IN_GA(T188)
  The graph contains the following edges 1 > 1

(55) YES

(56) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD66_IN_GA(s(T155), s(X228)) → ADD66_IN_GA(T155, X228)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
ADD66_IN_GA(x1, x2)  =  ADD66_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(57) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(58) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

ADD66_IN_GA(s(T155), s(X228)) → ADD66_IN_GA(T155, X228)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
ADD66_IN_GA(x1, x2)  =  ADD66_IN_GA(x1)

We have to consider all (P,R,Pi)-chains

(59) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(60) Obligation:

Q DP problem:
The TRS P consists of the following rules:

ADD66_IN_GA(s(T155)) → ADD66_IN_GA(T155)

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

(61) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• ADD66_IN_GA(s(T155)) → ADD66_IN_GA(T155)
  The graph contains the following edges 1 > 1

(62) YES

(63) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
NOTEQ51_IN_GG(x1, x2)  =  NOTEQ51_IN_GG(x1, x2)

We have to consider all (P,R,Pi)-chains

(64) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(65) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)

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

(66) PiDPToQDPProof (EQUIVALENT transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(67) Obligation:

Q DP problem:
The TRS P consists of the following rules:

NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)

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

(68) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• NOTEQ51_IN_GG(s(T148), s(T149)) → NOTEQ51_IN_GG(T148, T149)
  The graph contains the following edges 1 > 1, 2 > 2

(69) YES

(70) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
P236_IN_GGGGG(x1, x2, x3, x4, x5)  =  P236_IN_GGGGG(x1, x2, x3, x4, x5)
U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)

We have to consider all (P,R,Pi)-chains

(71) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(72) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))

The TRS R consists of the following rules:

notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
P236_IN_GGGGG(x1, x2, x3, x4, x5)  =  P236_IN_GGGGG(x1, x2, x3, x4, x5)
U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U15_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U17_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U19_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U21_GGGGG(x1, x2, x3, x4, x5, x6, x7)
U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)  =  U23_GGGGG(x1, x2, x3, x4, x5, x6, x7)

We have to consider all (P,R,Pi)-chains

(73) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(74) Obligation:

Q DP problem:
The TRS P consists of the following rules:

P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391))
U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391))
U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))

The TRS R consists of the following rules:

notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
addc249_in_gga(0, T405) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411) → U219_gga(T410, T411, addc249_in_gga(T410, T411))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
U219_gga(T410, T411, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))

The set Q consists of the following terms:

notEqc51_in_gg(x0, x1)
addc249_in_gga(x0, x1)
U211_gg(x0, x1, x2)
U219_gga(x0, x1, x2)

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

(75) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
  The graph contains the following edges 1 >= 1, 7 > 1, 2 >= 2, 7 > 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6

• U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → P236_IN_GGGGG(T389, T420, T388, T390, s(T391))
  The graph contains the following edges 4 >= 1, 7 > 2, 3 >= 3, 7 > 3, 5 >= 4

• U17_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391))
  The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 7 > 3, 4 >= 4, 7 > 4, 5 >= 5, 6 >= 6

• P236_IN_GGGGG(T344, T361, T388, .(T389, T390), T391) → U15_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
  The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 4 > 5, 5 >= 6

• U19_GGGGG(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
  The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 7 > 4, 5 >= 5, 6 >= 6, 7 > 6

• U21_GGGGG(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U23_GGGGG(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391))
  The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 7 > 3, 4 >= 4, 5 >= 5, 6 >= 6

(76) YES

(77) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
P40_IN_GG(x1, x2)  =  P40_IN_GG(x1, x2)
U185_GG(x1, x2, x3, x4)  =  U185_GG(x1, x2, x3, x4)

We have to consider all (P,R,Pi)-chains

(78) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(79) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)

The TRS R consists of the following rules:

noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
[]  =  []
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
P40_IN_GG(x1, x2)  =  P40_IN_GG(x1, x2)
U185_GG(x1, x2, x3, x4)  =  U185_GG(x1, x2, x3, x4)

We have to consider all (P,R,Pi)-chains

(80) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(81) Obligation:

Q DP problem:
The TRS P consists of the following rules:

P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)

The TRS R consists of the following rules:

noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, notEqc51_in_gg(T204, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T152))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155)) → U212_ga(T155, addc66_in_ga(T155))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171))
U246_gg(T204, T128, T179, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, addc66_in_ga(T204))
U256_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, addc66_in_ga(T237))
U271_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, addc66_in_ga(T270))
U291_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T303))
U316_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T336))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T343))
U212_ga(T155, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U247_gg(T204, T128, T179, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, notEqc51_in_gg(T160, T160))
U257_gg(T237, T128, T179, T212, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, notEqc51_in_gg(T160, T160))
U272_gg(T270, T128, T179, T212, T245, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T160, T160))
U292_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T160, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T160, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
U248_gg(T204, T128, T179, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, notEqc51_in_gg(T204, T179))
U258_gg(T237, T128, T179, T212, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T179))
U273_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T179))
U293_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T179))
U318_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T179))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T179))
U249_gg(T204, T128, T179, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, addc92_in_ga(T179))
U259_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, addc92_in_ga(T179))
U274_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, addc92_in_ga(T179))
U294_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, addc92_in_ga(T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, addc92_in_ga(T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T179))
U250_gg(T204, T128, T179, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U260_gg(T237, T128, T179, T212, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T185))
U275_gg(T270, T128, T179, T212, T245, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T185))
U295_gg(T303, T128, T179, T212, T245, T278, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T185))
addc92_in_ga(0) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188)) → U213_ga(T188, addc92_in_ga(T188))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204))
U261_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, addc92_in_ga(T237))
U276_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, addc92_in_ga(T270))
U296_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, addc92_in_ga(T303))
U321_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, addc92_in_ga(T336))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_in_ga(T343))
U213_ga(T188, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U262_gg(T237, T128, T179, T212, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, notEqc51_in_gg(T179, T193))
U277_gg(T270, T128, T179, T212, T245, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T179, T193))
U297_gg(T303, T128, T179, T212, T245, T278, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T179, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T179, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
U263_gg(T237, T128, T179, T212, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T212))
U278_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T212))
U298_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T212))
U323_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T212))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T212))
U264_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, addc118_in_ga(T212))
U279_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, addc118_in_ga(T212))
U299_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, addc118_in_ga(T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, addc118_in_ga(T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T212))
U265_gg(T237, T128, T179, T212, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U280_gg(T270, T128, T179, T212, T245, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T218))
U300_gg(T303, T128, T179, T212, T245, T278, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T218))
addc118_in_ga(0) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221)) → U214_ga(T221, addc118_in_ga(T221))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237))
U281_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, addc118_in_ga(T270))
U301_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, addc118_in_ga(T303))
U326_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, addc118_in_ga(T336))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_in_ga(T343))
U214_ga(T221, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U282_gg(T270, T128, T179, T212, T245, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T212, T226))
U302_gg(T303, T128, T179, T212, T245, T278, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T212, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T212, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
U283_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T245))
U303_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T245))
U328_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T245))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T245))
U284_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, addc144_in_ga(T245))
U304_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, addc144_in_ga(T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, addc144_in_ga(T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T245))
U285_gg(T270, T128, T179, T212, T245, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U305_gg(T303, T128, T179, T212, T245, T278, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T251))
addc144_in_ga(0) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254)) → U215_ga(T254, addc144_in_ga(T254))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270))
U306_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, addc144_in_ga(T303))
U331_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, addc144_in_ga(T336))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_in_ga(T343))
U215_ga(T254, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U307_gg(T303, T128, T179, T212, T245, T278, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T245, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T245, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
U308_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T278))
U333_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T278))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T278))
U309_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, addc170_in_ga(T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T278))
U310_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T284))
addc170_in_ga(0) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287)) → U216_ga(T287, addc170_in_ga(T287))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303))
U336_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, addc170_in_ga(T336))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_in_ga(T343))
U216_ga(T287, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T278, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
U338_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T311))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T311))
U340_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T317))
addc196_in_ga(0) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320)) → U217_ga(T320, addc196_in_ga(T320))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343))
U217_ga(T320, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, T345, s(s(s(s(s(s(s(0)))))))))
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))
qc220_in_ggaagg(T343, T344, T345, T348) → U233_ggaagg(T343, T344, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T345, T348, addc223_in_ga(T344))
U234_ggaagg(T343, T344, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T345, T348, notEqc51_in_gg(T343, T353))
addc223_in_ga(0) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356)) → U218_ga(T356, addc223_in_ga(T356))
U235_ggaagg(T343, T344, T353, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T345, T348, addc223_in_ga(T343))
U218_ga(T356, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
U236_ggaagg(T343, T344, T353, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
addc249_in_gga(0, T405) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411) → U219_gga(T410, T411, addc249_in_gga(T410, T411))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391))
U219_gga(T410, T411, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)

The set Q consists of the following terms:

noattackc41_in_gg(x0, x1)
U239_gg(x0, x1, x2)
U244_gg(x0, x1, x2, x3)
U254_gg(x0, x1, x2, x3, x4)
U269_gg(x0, x1, x2, x3, x4, x5)
U289_gg(x0, x1, x2, x3, x4, x5, x6)
U314_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U344_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
notEqc51_in_gg(x0, x1)
U240_gg(x0, x1, x2)
U245_gg(x0, x1, x2, x3)
U255_gg(x0, x1, x2, x3, x4)
U270_gg(x0, x1, x2, x3, x4, x5)
U290_gg(x0, x1, x2, x3, x4, x5, x6)
U315_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U345_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U211_gg(x0, x1, x2)
addc66_in_ga(x0)
U241_gg(x0, x1, x2)
U246_gg(x0, x1, x2, x3)
U256_gg(x0, x1, x2, x3, x4)
U271_gg(x0, x1, x2, x3, x4, x5)
U291_gg(x0, x1, x2, x3, x4, x5, x6)
U316_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U346_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U212_ga(x0, x1)
U242_gg(x0, x1, x2)
U247_gg(x0, x1, x2, x3)
U257_gg(x0, x1, x2, x3, x4)
U272_gg(x0, x1, x2, x3, x4, x5)
U292_gg(x0, x1, x2, x3, x4, x5, x6)
U317_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U347_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U243_gg(x0, x1, x2)
U248_gg(x0, x1, x2, x3)
U258_gg(x0, x1, x2, x3, x4)
U273_gg(x0, x1, x2, x3, x4, x5)
U293_gg(x0, x1, x2, x3, x4, x5, x6)
U318_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U348_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U249_gg(x0, x1, x2, x3)
U259_gg(x0, x1, x2, x3, x4)
U274_gg(x0, x1, x2, x3, x4, x5)
U294_gg(x0, x1, x2, x3, x4, x5, x6)
U319_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U349_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U250_gg(x0, x1, x2, x3)
U260_gg(x0, x1, x2, x3, x4)
U275_gg(x0, x1, x2, x3, x4, x5)
U295_gg(x0, x1, x2, x3, x4, x5, x6)
U320_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U350_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
addc92_in_ga(x0)
U251_gg(x0, x1, x2, x3)
U261_gg(x0, x1, x2, x3, x4)
U276_gg(x0, x1, x2, x3, x4, x5)
U296_gg(x0, x1, x2, x3, x4, x5, x6)
U321_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U351_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U213_ga(x0, x1)
U252_gg(x0, x1, x2, x3)
U262_gg(x0, x1, x2, x3, x4)
U277_gg(x0, x1, x2, x3, x4, x5)
U297_gg(x0, x1, x2, x3, x4, x5, x6)
U322_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U352_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U253_gg(x0, x1, x2, x3)
U263_gg(x0, x1, x2, x3, x4)
U278_gg(x0, x1, x2, x3, x4, x5)
U298_gg(x0, x1, x2, x3, x4, x5, x6)
U323_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U353_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U264_gg(x0, x1, x2, x3, x4)
U279_gg(x0, x1, x2, x3, x4, x5)
U299_gg(x0, x1, x2, x3, x4, x5, x6)
U324_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U354_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U265_gg(x0, x1, x2, x3, x4)
U280_gg(x0, x1, x2, x3, x4, x5)
U300_gg(x0, x1, x2, x3, x4, x5, x6)
U325_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U355_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
addc118_in_ga(x0)
U266_gg(x0, x1, x2, x3, x4)
U281_gg(x0, x1, x2, x3, x4, x5)
U301_gg(x0, x1, x2, x3, x4, x5, x6)
U326_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U356_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U214_ga(x0, x1)
U267_gg(x0, x1, x2, x3, x4)
U282_gg(x0, x1, x2, x3, x4, x5)
U302_gg(x0, x1, x2, x3, x4, x5, x6)
U327_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U357_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U268_gg(x0, x1, x2, x3, x4)
U283_gg(x0, x1, x2, x3, x4, x5)
U303_gg(x0, x1, x2, x3, x4, x5, x6)
U328_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U358_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U284_gg(x0, x1, x2, x3, x4, x5)
U304_gg(x0, x1, x2, x3, x4, x5, x6)
U329_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U359_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U285_gg(x0, x1, x2, x3, x4, x5)
U305_gg(x0, x1, x2, x3, x4, x5, x6)
U330_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U360_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
addc144_in_ga(x0)
U286_gg(x0, x1, x2, x3, x4, x5)
U306_gg(x0, x1, x2, x3, x4, x5, x6)
U331_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U361_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U215_ga(x0, x1)
U287_gg(x0, x1, x2, x3, x4, x5)
U307_gg(x0, x1, x2, x3, x4, x5, x6)
U332_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U362_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U288_gg(x0, x1, x2, x3, x4, x5)
U308_gg(x0, x1, x2, x3, x4, x5, x6)
U333_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U363_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U309_gg(x0, x1, x2, x3, x4, x5, x6)
U334_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U364_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U310_gg(x0, x1, x2, x3, x4, x5, x6)
U335_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U365_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
addc170_in_ga(x0)
U311_gg(x0, x1, x2, x3, x4, x5, x6)
U336_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U366_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U216_ga(x0, x1)
U312_gg(x0, x1, x2, x3, x4, x5, x6)
U337_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U367_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U313_gg(x0, x1, x2, x3, x4, x5, x6)
U338_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U368_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U339_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U369_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U340_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U370_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
addc196_in_ga(x0)
U341_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U371_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U217_ga(x0, x1)
U342_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U372_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U343_gg(x0, x1, x2, x3, x4, x5, x6, x7)
U373_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U374_gg(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
qc220_in_ggaagg(x0, x1, x2, x3)
U233_ggaagg(x0, x1, x2, x3, x4)
U234_ggaagg(x0, x1, x2, x3, x4)
addc223_in_ga(x0)
U235_ggaagg(x0, x1, x2, x3, x4, x5)
U218_ga(x0, x1)
U236_ggaagg(x0, x1, x2, x3, x4, x5)
U237_ggaagg(x0, x1, x2, x3, x4, x5, x6)
qc236_in_ggggg(x0, x1, x2, x3, x4)
U220_ggggg(x0, x1, x2, x3, x4)
U221_ggggg(x0, x1, x2, x3, x4, x5, x6)
U222_ggggg(x0, x1, x2, x3, x4, x5, x6)
U223_ggggg(x0, x1, x2, x3, x4, x5, x6)
addc249_in_gga(x0, x1)
U224_ggggg(x0, x1, x2, x3, x4, x5, x6)
U219_gga(x0, x1, x2)
U225_ggggg(x0, x1, x2, x3, x4, x5, x6)
U226_ggggg(x0, x1, x2, x3, x4, x5, x6)

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

(82) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• U185_GG(T110, T429, T430, noattackc41_out_gg(T110, .(T429, T430))) → P40_IN_GG(T429, T430)
  The graph contains the following edges 2 >= 1, 4 > 1, 3 >= 2, 4 > 2

• P40_IN_GG(T110, .(T429, T430)) → U185_GG(T110, T429, T430, noattackc41_in_gg(T110, .(T429, T430)))
  The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3

(83) YES

(84) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → DELETE17_IN_AGA(T72, T71, X94)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
DELETE17_IN_AGA(x1, x2, x3)  =  DELETE17_IN_AGA(x2)

We have to consider all (P,R,Pi)-chains

(85) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(86) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

DELETE17_IN_AGA(T72, .(T70, T71), .(T70, X94)) → DELETE17_IN_AGA(T72, T71, X94)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
DELETE17_IN_AGA(x1, x2, x3)  =  DELETE17_IN_AGA(x2)

We have to consider all (P,R,Pi)-chains

(87) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(88) Obligation:

Q DP problem:
The TRS P consists of the following rules:

DELETE17_IN_AGA(.(T70, T71)) → DELETE17_IN_AGA(T71)

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

(89) QDPSizeChangeProof (EQUIVALENT transformation)

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:

• DELETE17_IN_AGA(.(T70, T71)) → DELETE17_IN_AGA(T71)
  The graph contains the following edges 1 > 1

(90) YES

(91) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

PERM26_IN_GA(.(T86, T87), .(T90, T97)) → U3_GA(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96, T97)

The TRS R consists of the following rules:

deletec9_in_aga(s(0), T36, T36) → deletec9_out_aga(s(0), T36, T36)
deletec9_in_aga(T48, T47, .(s(0), X63)) → U238_aga(T48, T47, X63, deletec17_in_aga(T48, T47, X63))
deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))
U238_aga(T48, T47, X63, deletec17_out_aga(T48, T47, X63)) → deletec9_out_aga(T48, T47, .(s(0), X63))
permc26_in_ga([], []) → permc26_out_ga([], [])
permc26_in_ga(.(T86, T87), .(T90, T97)) → U209_ga(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U209_ga(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → U210_ga(T86, T87, T90, T97, permc26_in_ga(T96, T97))
U210_ga(T86, T87, T90, T97, permc26_out_ga(T96, T97)) → permc26_out_ga(.(T86, T87), .(T90, T97))
notEqc51_in_gg(0, s(T138)) → notEqc51_out_gg(0, s(T138))
notEqc51_in_gg(s(T143), 0) → notEqc51_out_gg(s(T143), 0)
notEqc51_in_gg(s(T148), s(T149)) → U211_gg(T148, T149, notEqc51_in_gg(T148, T149))
U211_gg(T148, T149, notEqc51_out_gg(T148, T149)) → notEqc51_out_gg(s(T148), s(T149))
addc66_in_ga(0, s(0)) → addc66_out_ga(0, s(0))
addc66_in_ga(s(T155), s(X228)) → U212_ga(T155, X228, addc66_in_ga(T155, X228))
U212_ga(T155, X228, addc66_out_ga(T155, X228)) → addc66_out_ga(s(T155), s(X228))
addc92_in_ga(0, s(s(0))) → addc92_out_ga(0, s(s(0)))
addc92_in_ga(s(T188), s(X307)) → U213_ga(T188, X307, addc92_in_ga(T188, X307))
U213_ga(T188, X307, addc92_out_ga(T188, X307)) → addc92_out_ga(s(T188), s(X307))
addc118_in_ga(0, s(s(s(0)))) → addc118_out_ga(0, s(s(s(0))))
addc118_in_ga(s(T221), s(X386)) → U214_ga(T221, X386, addc118_in_ga(T221, X386))
U214_ga(T221, X386, addc118_out_ga(T221, X386)) → addc118_out_ga(s(T221), s(X386))
addc144_in_ga(0, s(s(s(s(0))))) → addc144_out_ga(0, s(s(s(s(0)))))
addc144_in_ga(s(T254), s(X465)) → U215_ga(T254, X465, addc144_in_ga(T254, X465))
U215_ga(T254, X465, addc144_out_ga(T254, X465)) → addc144_out_ga(s(T254), s(X465))
addc170_in_ga(0, s(s(s(s(s(0)))))) → addc170_out_ga(0, s(s(s(s(s(0))))))
addc170_in_ga(s(T287), s(X544)) → U216_ga(T287, X544, addc170_in_ga(T287, X544))
U216_ga(T287, X544, addc170_out_ga(T287, X544)) → addc170_out_ga(s(T287), s(X544))
addc196_in_ga(0, s(s(s(s(s(s(0))))))) → addc196_out_ga(0, s(s(s(s(s(s(0)))))))
addc196_in_ga(s(T320), s(X623)) → U217_ga(T320, X623, addc196_in_ga(T320, X623))
U217_ga(T320, X623, addc196_out_ga(T320, X623)) → addc196_out_ga(s(T320), s(X623))
addc223_in_ga(0, s(s(s(s(s(s(s(0)))))))) → addc223_out_ga(0, s(s(s(s(s(s(s(0))))))))
addc223_in_ga(s(T356), s(X704)) → U218_ga(T356, X704, addc223_in_ga(T356, X704))
U218_ga(T356, X704, addc223_out_ga(T356, X704)) → addc223_out_ga(s(T356), s(X704))
addc249_in_gga(0, T405, s(T405)) → addc249_out_gga(0, T405, s(T405))
addc249_in_gga(s(T410), T411, s(X783)) → U219_gga(T410, T411, X783, addc249_in_gga(T410, T411, X783))
U219_gga(T410, T411, X783, addc249_out_gga(T410, T411, X783)) → addc249_out_gga(s(T410), T411, s(X783))
noattackc41_in_gg(T120, []) → noattackc41_out_gg(T120, [])
noattackc41_in_gg(T171, .(T128, [])) → U239_gg(T171, T128, notEqc51_in_gg(T171, T128))
U239_gg(T171, T128, notEqc51_out_gg(T171, T128)) → U240_gg(T171, T128, addc66_in_ga(T128, T152))
U240_gg(T171, T128, addc66_out_ga(T128, T152)) → U241_gg(T171, T128, notEqc51_in_gg(T171, T152))
U241_gg(T171, T128, notEqc51_out_gg(T171, T152)) → U242_gg(T171, T128, addc66_in_ga(T171, T160))
U242_gg(T171, T128, addc66_out_ga(T171, T160)) → U243_gg(T171, T128, notEqc51_in_gg(T160, T160))
U243_gg(T171, T128, notEqc51_out_gg(T160, T160)) → noattackc41_out_gg(T171, .(T128, []))
noattackc41_in_gg(T204, .(T128, .(T179, []))) → U244_gg(T204, T128, T179, notEqc51_in_gg(T204, T128))
U244_gg(T204, T128, T179, notEqc51_out_gg(T204, T128)) → U245_gg(T204, T128, T179, addc66_in_ga(T128, T152))
U245_gg(T204, T128, T179, addc66_out_ga(T128, T152)) → U246_gg(T204, T128, T179, T152, notEqc51_in_gg(T204, T152))
U246_gg(T204, T128, T179, T152, notEqc51_out_gg(T204, T152)) → U247_gg(T204, T128, T179, T152, addc66_in_ga(T204, T160))
U247_gg(T204, T128, T179, T152, addc66_out_ga(T204, T160)) → U248_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T160, T160))
U248_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T160, T160)) → U249_gg(T204, T128, T179, T152, T160, notEqc51_in_gg(T204, T179))
U249_gg(T204, T128, T179, T152, T160, notEqc51_out_gg(T204, T179)) → U250_gg(T204, T128, T179, T152, T160, addc92_in_ga(T179, T185))
U250_gg(T204, T128, T179, T152, T160, addc92_out_ga(T179, T185)) → U251_gg(T204, T128, T179, notEqc51_in_gg(T204, T185))
U251_gg(T204, T128, T179, notEqc51_out_gg(T204, T185)) → U252_gg(T204, T128, T179, addc92_in_ga(T204, T193))
U252_gg(T204, T128, T179, addc92_out_ga(T204, T193)) → U253_gg(T204, T128, T179, notEqc51_in_gg(T179, T193))
U253_gg(T204, T128, T179, notEqc51_out_gg(T179, T193)) → noattackc41_out_gg(T204, .(T128, .(T179, [])))
noattackc41_in_gg(T237, .(T128, .(T179, .(T212, [])))) → U254_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T128))
U254_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T128)) → U255_gg(T237, T128, T179, T212, addc66_in_ga(T128, T152))
U255_gg(T237, T128, T179, T212, addc66_out_ga(T128, T152)) → U256_gg(T237, T128, T179, T212, T152, notEqc51_in_gg(T237, T152))
U256_gg(T237, T128, T179, T212, T152, notEqc51_out_gg(T237, T152)) → U257_gg(T237, T128, T179, T212, T152, addc66_in_ga(T237, T160))
U257_gg(T237, T128, T179, T212, T152, addc66_out_ga(T237, T160)) → U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T160, T160))
U258_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T160, T160)) → U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_in_gg(T237, T179))
U259_gg(T237, T128, T179, T212, T152, T160, notEqc51_out_gg(T237, T179)) → U260_gg(T237, T128, T179, T212, T152, T160, addc92_in_ga(T179, T185))
U260_gg(T237, T128, T179, T212, T152, T160, addc92_out_ga(T179, T185)) → U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_in_gg(T237, T185))
U261_gg(T237, T128, T179, T212, T152, T160, T185, notEqc51_out_gg(T237, T185)) → U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_in_ga(T237, T193))
U262_gg(T237, T128, T179, T212, T152, T160, T185, addc92_out_ga(T237, T193)) → U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U263_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_in_gg(T237, T212))
U264_gg(T237, T128, T179, T212, T152, T160, T185, T193, notEqc51_out_gg(T237, T212)) → U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U265_gg(T237, T128, T179, T212, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U266_gg(T237, T128, T179, T212, notEqc51_in_gg(T237, T218))
U266_gg(T237, T128, T179, T212, notEqc51_out_gg(T237, T218)) → U267_gg(T237, T128, T179, T212, addc118_in_ga(T237, T226))
U267_gg(T237, T128, T179, T212, addc118_out_ga(T237, T226)) → U268_gg(T237, T128, T179, T212, notEqc51_in_gg(T212, T226))
U268_gg(T237, T128, T179, T212, notEqc51_out_gg(T212, T226)) → noattackc41_out_gg(T237, .(T128, .(T179, .(T212, []))))
noattackc41_in_gg(T270, .(T128, .(T179, .(T212, .(T245, []))))) → U269_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T128))
U269_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T128)) → U270_gg(T270, T128, T179, T212, T245, addc66_in_ga(T128, T152))
U270_gg(T270, T128, T179, T212, T245, addc66_out_ga(T128, T152)) → U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_in_gg(T270, T152))
U271_gg(T270, T128, T179, T212, T245, T152, notEqc51_out_gg(T270, T152)) → U272_gg(T270, T128, T179, T212, T245, T152, addc66_in_ga(T270, T160))
U272_gg(T270, T128, T179, T212, T245, T152, addc66_out_ga(T270, T160)) → U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T160, T160))
U273_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T160, T160)) → U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_in_gg(T270, T179))
U274_gg(T270, T128, T179, T212, T245, T152, T160, notEqc51_out_gg(T270, T179)) → U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_in_ga(T179, T185))
U275_gg(T270, T128, T179, T212, T245, T152, T160, addc92_out_ga(T179, T185)) → U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_in_gg(T270, T185))
U276_gg(T270, T128, T179, T212, T245, T152, T160, T185, notEqc51_out_gg(T270, T185)) → U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_in_ga(T270, T193))
U277_gg(T270, T128, T179, T212, T245, T152, T160, T185, addc92_out_ga(T270, T193)) → U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U278_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_in_gg(T270, T212))
U279_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, notEqc51_out_gg(T270, T212)) → U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U280_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_in_gg(T270, T218))
U281_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, notEqc51_out_gg(T270, T218)) → U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_in_ga(T270, T226))
U282_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, addc118_out_ga(T270, T226)) → U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U283_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T270, T245))
U284_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T270, T245)) → U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U285_gg(T270, T128, T179, T212, T245, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U286_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T270, T251))
U286_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T270, T251)) → U287_gg(T270, T128, T179, T212, T245, addc144_in_ga(T270, T259))
U287_gg(T270, T128, T179, T212, T245, addc144_out_ga(T270, T259)) → U288_gg(T270, T128, T179, T212, T245, notEqc51_in_gg(T245, T259))
U288_gg(T270, T128, T179, T212, T245, notEqc51_out_gg(T245, T259)) → noattackc41_out_gg(T270, .(T128, .(T179, .(T212, .(T245, [])))))
noattackc41_in_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, [])))))) → U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T128))
U289_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T128)) → U290_gg(T303, T128, T179, T212, T245, T278, addc66_in_ga(T128, T152))
U290_gg(T303, T128, T179, T212, T245, T278, addc66_out_ga(T128, T152)) → U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_in_gg(T303, T152))
U291_gg(T303, T128, T179, T212, T245, T278, T152, notEqc51_out_gg(T303, T152)) → U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_in_ga(T303, T160))
U292_gg(T303, T128, T179, T212, T245, T278, T152, addc66_out_ga(T303, T160)) → U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T160, T160))
U293_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T160, T160)) → U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_in_gg(T303, T179))
U294_gg(T303, T128, T179, T212, T245, T278, T152, T160, notEqc51_out_gg(T303, T179)) → U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_in_ga(T179, T185))
U295_gg(T303, T128, T179, T212, T245, T278, T152, T160, addc92_out_ga(T179, T185)) → U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_in_gg(T303, T185))
U296_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, notEqc51_out_gg(T303, T185)) → U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_in_ga(T303, T193))
U297_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, addc92_out_ga(T303, T193)) → U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U298_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_in_gg(T303, T212))
U299_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, notEqc51_out_gg(T303, T212)) → U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U300_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_in_gg(T303, T218))
U301_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, notEqc51_out_gg(T303, T218)) → U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_in_ga(T303, T226))
U302_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, addc118_out_ga(T303, T226)) → U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U303_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T303, T245))
U304_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T303, T245)) → U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U305_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T303, T251))
U306_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T303, T251)) → U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T303, T259))
U307_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T303, T259)) → U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U308_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T303, T278))
U309_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T303, T278)) → U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U310_gg(T303, T128, T179, T212, T245, T278, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T303, T284))
U311_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T303, T284)) → U312_gg(T303, T128, T179, T212, T245, T278, addc170_in_ga(T303, T292))
U312_gg(T303, T128, T179, T212, T245, T278, addc170_out_ga(T303, T292)) → U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_in_gg(T278, T292))
U313_gg(T303, T128, T179, T212, T245, T278, notEqc51_out_gg(T278, T292)) → noattackc41_out_gg(T303, .(T128, .(T179, .(T212, .(T245, .(T278, []))))))
noattackc41_in_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, []))))))) → U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T128))
U314_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T128)) → U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_in_ga(T128, T152))
U315_gg(T336, T128, T179, T212, T245, T278, T311, addc66_out_ga(T128, T152)) → U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_in_gg(T336, T152))
U316_gg(T336, T128, T179, T212, T245, T278, T311, T152, notEqc51_out_gg(T336, T152)) → U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_in_ga(T336, T160))
U317_gg(T336, T128, T179, T212, T245, T278, T311, T152, addc66_out_ga(T336, T160)) → U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T160, T160))
U318_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T160, T160)) → U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_in_gg(T336, T179))
U319_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, notEqc51_out_gg(T336, T179)) → U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_in_ga(T179, T185))
U320_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, addc92_out_ga(T179, T185)) → U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_in_gg(T336, T185))
U321_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, notEqc51_out_gg(T336, T185)) → U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_in_ga(T336, T193))
U322_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, addc92_out_ga(T336, T193)) → U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U323_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_in_gg(T336, T212))
U324_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, notEqc51_out_gg(T336, T212)) → U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U325_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_in_gg(T336, T218))
U326_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, notEqc51_out_gg(T336, T218)) → U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_in_ga(T336, T226))
U327_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, addc118_out_ga(T336, T226)) → U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U328_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T336, T245))
U329_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T336, T245)) → U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U330_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T336, T251))
U331_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T336, T251)) → U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T336, T259))
U332_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T336, T259)) → U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U333_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T336, T278))
U334_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T336, T278)) → U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U335_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T336, T284))
U336_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T336, T284)) → U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T336, T292))
U337_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T336, T292)) → U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U338_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T336, T311))
U339_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T336, T311)) → U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U340_gg(T336, T128, T179, T212, T245, T278, T311, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T336, T317))
U341_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T336, T317)) → U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_in_ga(T336, T325))
U342_gg(T336, T128, T179, T212, T245, T278, T311, addc196_out_ga(T336, T325)) → U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_in_gg(T311, T325))
U343_gg(T336, T128, T179, T212, T245, T278, T311, notEqc51_out_gg(T311, T325)) → noattackc41_out_gg(T336, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, [])))))))
noattackc41_in_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345)))))))) → U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T343, T128))
U344_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T343, T128)) → U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_in_ga(T128, T152))
U345_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc66_out_ga(T128, T152)) → U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_in_gg(T343, T152))
U346_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, notEqc51_out_gg(T343, T152)) → U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_in_ga(T343, T160))
U347_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, addc66_out_ga(T343, T160)) → U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T160, T160))
U348_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T160, T160)) → U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_in_gg(T343, T179))
U349_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, notEqc51_out_gg(T343, T179)) → U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_in_ga(T179, T185))
U350_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, addc92_out_ga(T179, T185)) → U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_in_gg(T343, T185))
U351_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, notEqc51_out_gg(T343, T185)) → U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_in_ga(T343, T193))
U352_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, addc92_out_ga(T343, T193)) → U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T179, T193))
U353_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T179, T193)) → U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_in_gg(T343, T212))
U354_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, notEqc51_out_gg(T343, T212)) → U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_in_ga(T212, T218))
U355_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, addc118_out_ga(T212, T218)) → U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_in_gg(T343, T218))
U356_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, notEqc51_out_gg(T343, T218)) → U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_in_ga(T343, T226))
U357_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, addc118_out_ga(T343, T226)) → U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T212, T226))
U358_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T212, T226)) → U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_in_gg(T343, T245))
U359_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, notEqc51_out_gg(T343, T245)) → U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_in_ga(T245, T251))
U360_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, addc144_out_ga(T245, T251)) → U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_in_gg(T343, T251))
U361_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, notEqc51_out_gg(T343, T251)) → U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_in_ga(T343, T259))
U362_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, addc144_out_ga(T343, T259)) → U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T245, T259))
U363_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T245, T259)) → U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_in_gg(T343, T278))
U364_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, notEqc51_out_gg(T343, T278)) → U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_in_ga(T278, T284))
U365_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, addc170_out_ga(T278, T284)) → U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_in_gg(T343, T284))
U366_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, notEqc51_out_gg(T343, T284)) → U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_in_ga(T343, T292))
U367_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, addc170_out_ga(T343, T292)) → U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T278, T292))
U368_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T278, T292)) → U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_in_gg(T343, T311))
U369_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, notEqc51_out_gg(T343, T311)) → U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_in_ga(T311, T317))
U370_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, addc196_out_ga(T311, T317)) → U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_in_gg(T343, T317))
U371_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, T152, T160, T185, T193, T218, T226, T251, T259, T284, T292, T317, notEqc51_out_gg(T343, T317)) → U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_in_ga(T343, T325))
U372_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, addc196_out_ga(T343, T325)) → U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_in_gg(T311, T325))
U373_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, notEqc51_out_gg(T311, T325)) → U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_in_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0)))))))))
qc220_in_ggaagg(T343, T344, T353, T361, T345, T348) → U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T344))
U233_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T344)) → U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T344, T353))
U234_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T344, T353)) → U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_in_gg(T343, T353))
U235_ggaagg(T343, T344, T353, T361, T345, T348, notEqc51_out_gg(T343, T353)) → U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_in_ga(T343, T361))
U236_ggaagg(T343, T344, T353, T361, T345, T348, addc223_out_ga(T343, T361)) → U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_in_ggggg(T344, T361, T343, T345, T348))
qc236_in_ggggg(T344, T361, T378, [], T379) → U220_ggggg(T344, T361, T378, T379, notEqc51_in_gg(T344, T361))
U220_ggggg(T344, T361, T378, T379, notEqc51_out_gg(T344, T361)) → qc236_out_ggggg(T344, T361, T378, [], T379)
qc236_in_ggggg(T344, T361, T388, .(T389, T390), T391) → U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T344, T361))
U221_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T344, T361)) → U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T389))
U222_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T389)) → U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T389, T391, T398))
U223_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T389, T391, T398)) → U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_in_gg(T388, T398))
U224_ggggg(T344, T361, T388, T389, T390, T391, notEqc51_out_gg(T388, T398)) → U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_in_gga(T388, T391, T420))
U225_ggggg(T344, T361, T388, T389, T390, T391, addc249_out_gga(T388, T391, T420)) → U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_in_ggggg(T389, T420, T388, T390, s(T391)))
U226_ggggg(T344, T361, T388, T389, T390, T391, qc236_out_ggggg(T389, T420, T388, T390, s(T391))) → qc236_out_ggggg(T344, T361, T388, .(T389, T390), T391)
U237_ggaagg(T343, T344, T353, T361, T345, T348, qc236_out_ggggg(T344, T361, T343, T345, T348)) → qc220_out_ggaagg(T343, T344, T353, T361, T345, T348)
U374_gg(T343, T128, T179, T212, T245, T278, T311, T344, T345, qc220_out_ggaagg(T343, T344, X671, X672, T345, s(s(s(s(s(s(s(0))))))))) → noattackc41_out_gg(T343, .(T128, .(T179, .(T212, .(T245, .(T278, .(T311, .(T344, T345))))))))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec9_in_aga(x1, x2, x3)  =  deletec9_in_aga(x2)
deletec9_out_aga(x1, x2, x3)  =  deletec9_out_aga(x1, x2, x3)
U238_aga(x1, x2, x3, x4)  =  U238_aga(x2, x4)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
permc26_in_ga(x1, x2)  =  permc26_in_ga(x1)
[]  =  []
permc26_out_ga(x1, x2)  =  permc26_out_ga(x1, x2)
U209_ga(x1, x2, x3, x4, x5)  =  U209_ga(x1, x2, x5)
U210_ga(x1, x2, x3, x4, x5)  =  U210_ga(x1, x2, x3, x5)
s(x1)  =  s(x1)
notEqc51_in_gg(x1, x2)  =  notEqc51_in_gg(x1, x2)
0  =  0
notEqc51_out_gg(x1, x2)  =  notEqc51_out_gg(x1, x2)
U211_gg(x1, x2, x3)  =  U211_gg(x1, x2, x3)
addc66_in_ga(x1, x2)  =  addc66_in_ga(x1)
addc66_out_ga(x1, x2)  =  addc66_out_ga(x1, x2)
U212_ga(x1, x2, x3)  =  U212_ga(x1, x3)
addc92_in_ga(x1, x2)  =  addc92_in_ga(x1)
addc92_out_ga(x1, x2)  =  addc92_out_ga(x1, x2)
U213_ga(x1, x2, x3)  =  U213_ga(x1, x3)
addc118_in_ga(x1, x2)  =  addc118_in_ga(x1)
addc118_out_ga(x1, x2)  =  addc118_out_ga(x1, x2)
U214_ga(x1, x2, x3)  =  U214_ga(x1, x3)
addc144_in_ga(x1, x2)  =  addc144_in_ga(x1)
addc144_out_ga(x1, x2)  =  addc144_out_ga(x1, x2)
U215_ga(x1, x2, x3)  =  U215_ga(x1, x3)
addc170_in_ga(x1, x2)  =  addc170_in_ga(x1)
addc170_out_ga(x1, x2)  =  addc170_out_ga(x1, x2)
U216_ga(x1, x2, x3)  =  U216_ga(x1, x3)
addc196_in_ga(x1, x2)  =  addc196_in_ga(x1)
addc196_out_ga(x1, x2)  =  addc196_out_ga(x1, x2)
U217_ga(x1, x2, x3)  =  U217_ga(x1, x3)
addc223_in_ga(x1, x2)  =  addc223_in_ga(x1)
addc223_out_ga(x1, x2)  =  addc223_out_ga(x1, x2)
U218_ga(x1, x2, x3)  =  U218_ga(x1, x3)
addc249_in_gga(x1, x2, x3)  =  addc249_in_gga(x1, x2)
addc249_out_gga(x1, x2, x3)  =  addc249_out_gga(x1, x2, x3)
U219_gga(x1, x2, x3, x4)  =  U219_gga(x1, x2, x4)
noattackc41_in_gg(x1, x2)  =  noattackc41_in_gg(x1, x2)
noattackc41_out_gg(x1, x2)  =  noattackc41_out_gg(x1, x2)
U239_gg(x1, x2, x3)  =  U239_gg(x1, x2, x3)
U240_gg(x1, x2, x3)  =  U240_gg(x1, x2, x3)
U241_gg(x1, x2, x3)  =  U241_gg(x1, x2, x3)
U242_gg(x1, x2, x3)  =  U242_gg(x1, x2, x3)
U243_gg(x1, x2, x3)  =  U243_gg(x1, x2, x3)
U244_gg(x1, x2, x3, x4)  =  U244_gg(x1, x2, x3, x4)
U245_gg(x1, x2, x3, x4)  =  U245_gg(x1, x2, x3, x4)
U246_gg(x1, x2, x3, x4, x5)  =  U246_gg(x1, x2, x3, x5)
U247_gg(x1, x2, x3, x4, x5)  =  U247_gg(x1, x2, x3, x5)
U248_gg(x1, x2, x3, x4, x5, x6)  =  U248_gg(x1, x2, x3, x6)
U249_gg(x1, x2, x3, x4, x5, x6)  =  U249_gg(x1, x2, x3, x6)
U250_gg(x1, x2, x3, x4, x5, x6)  =  U250_gg(x1, x2, x3, x6)
U251_gg(x1, x2, x3, x4)  =  U251_gg(x1, x2, x3, x4)
U252_gg(x1, x2, x3, x4)  =  U252_gg(x1, x2, x3, x4)
U253_gg(x1, x2, x3, x4)  =  U253_gg(x1, x2, x3, x4)
U254_gg(x1, x2, x3, x4, x5)  =  U254_gg(x1, x2, x3, x4, x5)
U255_gg(x1, x2, x3, x4, x5)  =  U255_gg(x1, x2, x3, x4, x5)
U256_gg(x1, x2, x3, x4, x5, x6)  =  U256_gg(x1, x2, x3, x4, x6)
U257_gg(x1, x2, x3, x4, x5, x6)  =  U257_gg(x1, x2, x3, x4, x6)
U258_gg(x1, x2, x3, x4, x5, x6, x7)  =  U258_gg(x1, x2, x3, x4, x7)
U259_gg(x1, x2, x3, x4, x5, x6, x7)  =  U259_gg(x1, x2, x3, x4, x7)
U260_gg(x1, x2, x3, x4, x5, x6, x7)  =  U260_gg(x1, x2, x3, x4, x7)
U261_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U261_gg(x1, x2, x3, x4, x8)
U262_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U262_gg(x1, x2, x3, x4, x8)
U263_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U263_gg(x1, x2, x3, x4, x9)
U264_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U264_gg(x1, x2, x3, x4, x9)
U265_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U265_gg(x1, x2, x3, x4, x9)
U266_gg(x1, x2, x3, x4, x5)  =  U266_gg(x1, x2, x3, x4, x5)
U267_gg(x1, x2, x3, x4, x5)  =  U267_gg(x1, x2, x3, x4, x5)
U268_gg(x1, x2, x3, x4, x5)  =  U268_gg(x1, x2, x3, x4, x5)
U269_gg(x1, x2, x3, x4, x5, x6)  =  U269_gg(x1, x2, x3, x4, x5, x6)
U270_gg(x1, x2, x3, x4, x5, x6)  =  U270_gg(x1, x2, x3, x4, x5, x6)
U271_gg(x1, x2, x3, x4, x5, x6, x7)  =  U271_gg(x1, x2, x3, x4, x5, x7)
U272_gg(x1, x2, x3, x4, x5, x6, x7)  =  U272_gg(x1, x2, x3, x4, x5, x7)
U273_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U273_gg(x1, x2, x3, x4, x5, x8)
U274_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U274_gg(x1, x2, x3, x4, x5, x8)
U275_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U275_gg(x1, x2, x3, x4, x5, x8)
U276_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U276_gg(x1, x2, x3, x4, x5, x9)
U277_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U277_gg(x1, x2, x3, x4, x5, x9)
U278_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U278_gg(x1, x2, x3, x4, x5, x10)
U279_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U279_gg(x1, x2, x3, x4, x5, x10)
U280_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U280_gg(x1, x2, x3, x4, x5, x10)
U281_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U281_gg(x1, x2, x3, x4, x5, x11)
U282_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U282_gg(x1, x2, x3, x4, x5, x11)
U283_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U283_gg(x1, x2, x3, x4, x5, x12)
U284_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U284_gg(x1, x2, x3, x4, x5, x12)
U285_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U285_gg(x1, x2, x3, x4, x5, x12)
U286_gg(x1, x2, x3, x4, x5, x6)  =  U286_gg(x1, x2, x3, x4, x5, x6)
U287_gg(x1, x2, x3, x4, x5, x6)  =  U287_gg(x1, x2, x3, x4, x5, x6)
U288_gg(x1, x2, x3, x4, x5, x6)  =  U288_gg(x1, x2, x3, x4, x5, x6)
U289_gg(x1, x2, x3, x4, x5, x6, x7)  =  U289_gg(x1, x2, x3, x4, x5, x6, x7)
U290_gg(x1, x2, x3, x4, x5, x6, x7)  =  U290_gg(x1, x2, x3, x4, x5, x6, x7)
U291_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U291_gg(x1, x2, x3, x4, x5, x6, x8)
U292_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U292_gg(x1, x2, x3, x4, x5, x6, x8)
U293_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U293_gg(x1, x2, x3, x4, x5, x6, x9)
U294_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U294_gg(x1, x2, x3, x4, x5, x6, x9)
U295_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U295_gg(x1, x2, x3, x4, x5, x6, x9)
U296_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U296_gg(x1, x2, x3, x4, x5, x6, x10)
U297_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U297_gg(x1, x2, x3, x4, x5, x6, x10)
U298_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U298_gg(x1, x2, x3, x4, x5, x6, x11)
U299_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U299_gg(x1, x2, x3, x4, x5, x6, x11)
U300_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U300_gg(x1, x2, x3, x4, x5, x6, x11)
U301_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U301_gg(x1, x2, x3, x4, x5, x6, x12)
U302_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U302_gg(x1, x2, x3, x4, x5, x6, x12)
U303_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U303_gg(x1, x2, x3, x4, x5, x6, x13)
U304_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U304_gg(x1, x2, x3, x4, x5, x6, x13)
U305_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U305_gg(x1, x2, x3, x4, x5, x6, x13)
U306_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U306_gg(x1, x2, x3, x4, x5, x6, x14)
U307_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U307_gg(x1, x2, x3, x4, x5, x6, x14)
U308_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U308_gg(x1, x2, x3, x4, x5, x6, x15)
U309_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U309_gg(x1, x2, x3, x4, x5, x6, x15)
U310_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U310_gg(x1, x2, x3, x4, x5, x6, x15)
U311_gg(x1, x2, x3, x4, x5, x6, x7)  =  U311_gg(x1, x2, x3, x4, x5, x6, x7)
U312_gg(x1, x2, x3, x4, x5, x6, x7)  =  U312_gg(x1, x2, x3, x4, x5, x6, x7)
U313_gg(x1, x2, x3, x4, x5, x6, x7)  =  U313_gg(x1, x2, x3, x4, x5, x6, x7)
U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U314_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U315_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U316_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U316_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U317_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U317_gg(x1, x2, x3, x4, x5, x6, x7, x9)
U318_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U318_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U319_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U319_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U320_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U320_gg(x1, x2, x3, x4, x5, x6, x7, x10)
U321_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U321_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U322_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U322_gg(x1, x2, x3, x4, x5, x6, x7, x11)
U323_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U323_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U324_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U324_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U325_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U325_gg(x1, x2, x3, x4, x5, x6, x7, x12)
U326_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U326_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U327_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U327_gg(x1, x2, x3, x4, x5, x6, x7, x13)
U328_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U328_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U329_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U329_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U330_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U330_gg(x1, x2, x3, x4, x5, x6, x7, x14)
U331_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U331_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U332_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U332_gg(x1, x2, x3, x4, x5, x6, x7, x15)
U333_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U333_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U334_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U334_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U335_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U335_gg(x1, x2, x3, x4, x5, x6, x7, x16)
U336_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U336_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U337_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U337_gg(x1, x2, x3, x4, x5, x6, x7, x17)
U338_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U338_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U339_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U339_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U340_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U340_gg(x1, x2, x3, x4, x5, x6, x7, x18)
U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U341_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U342_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)  =  U343_gg(x1, x2, x3, x4, x5, x6, x7, x8)
U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U344_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U345_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U346_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U347_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U348_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U349_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12)  =  U350_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x12)
U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U351_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13)  =  U352_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x13)
U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U353_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U354_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14)  =  U355_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x14)
U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U356_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15)  =  U357_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x15)
U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U358_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U359_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16)  =  U360_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x16)
U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U361_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17)  =  U362_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x17)
U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U363_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U364_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18)  =  U365_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x18)
U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U366_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19)  =  U367_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x19)
U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U368_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U369_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20)  =  U370_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x20)
U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20, x21)  =  U371_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x21)
U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U372_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U373_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U374_gg(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
qc220_in_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_in_ggaagg(x1, x2, x5, x6)
U233_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U233_ggaagg(x1, x2, x5, x6, x7)
U234_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U234_ggaagg(x1, x2, x5, x6, x7)
U235_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U235_ggaagg(x1, x2, x3, x5, x6, x7)
U236_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U236_ggaagg(x1, x2, x3, x5, x6, x7)
U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)  =  U237_ggaagg(x1, x2, x3, x4, x5, x6, x7)
qc236_in_ggggg(x1, x2, x3, x4, x5)  =  qc236_in_ggggg(x1, x2, x3, x4, x5)
U220_ggggg(x1, x2, x3, x4, x5)  =  U220_ggggg(x1, x2, x3, x4, x5)
qc236_out_ggggg(x1, x2, x3, x4, x5)  =  qc236_out_ggggg(x1, x2, x3, x4, x5)
U221_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U221_ggggg(x1, x2, x3, x4, x5, x6, x7)
U222_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U222_ggggg(x1, x2, x3, x4, x5, x6, x7)
U223_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U223_ggggg(x1, x2, x3, x4, x5, x6, x7)
U224_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U224_ggggg(x1, x2, x3, x4, x5, x6, x7)
U225_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U225_ggggg(x1, x2, x3, x4, x5, x6, x7)
U226_ggggg(x1, x2, x3, x4, x5, x6, x7)  =  U226_ggggg(x1, x2, x3, x4, x5, x6, x7)
qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)  =  qc220_out_ggaagg(x1, x2, x3, x4, x5, x6)
PERM26_IN_GA(x1, x2)  =  PERM26_IN_GA(x1)
U3_GA(x1, x2, x3, x4, x5)  =  U3_GA(x1, x2, x5)

We have to consider all (P,R,Pi)-chains

(92) UsableRulesProof (EQUIVALENT transformation)

For (infinitary) constructor rewriting [LOPSTR] we can delete all non-usable rules from R.

(93) Obligation:

Pi DP problem:
The TRS P consists of the following rules:

PERM26_IN_GA(.(T86, T87), .(T90, T97)) → U3_GA(T86, T87, T90, T97, deletec17_in_aga(T90, .(T86, T87), T96))
U3_GA(T86, T87, T90, T97, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96, T97)

The TRS R consists of the following rules:

deletec17_in_aga(T61, .(T61, T62), T62) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(T72, .(T70, T71), .(T70, X94)) → U208_aga(T72, T70, T71, X94, deletec17_in_aga(T72, T71, X94))
U208_aga(T72, T70, T71, X94, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
deletec17_in_aga(x1, x2, x3)  =  deletec17_in_aga(x2)
deletec17_out_aga(x1, x2, x3)  =  deletec17_out_aga(x1, x2, x3)
U208_aga(x1, x2, x3, x4, x5)  =  U208_aga(x2, x3, x5)
PERM26_IN_GA(x1, x2)  =  PERM26_IN_GA(x1)
U3_GA(x1, x2, x3, x4, x5)  =  U3_GA(x1, x2, x5)

We have to consider all (P,R,Pi)-chains

(94) PiDPToQDPProof (SOUND transformation)

Transforming (infinitary) constructor rewriting Pi-DP problem [LOPSTR] into ordinary QDP problem [LPAR04] by application of Pi.

(95) Obligation:

Q DP problem:
The TRS P consists of the following rules:

PERM26_IN_GA(.(T86, T87)) → U3_GA(T86, T87, deletec17_in_aga(.(T86, T87)))
U3_GA(T86, T87, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96)

The TRS R consists of the following rules:

deletec17_in_aga(.(T61, T62)) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(.(T70, T71)) → U208_aga(T70, T71, deletec17_in_aga(T71))
U208_aga(T70, T71, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))

The set Q consists of the following terms:

deletec17_in_aga(x0)
U208_aga(x0, x1, x2)

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

(96) QDPOrderProof (EQUIVALENT transformation)

We use the reduction pair processor [LPAR04].

The following pairs can be oriented strictly and are deleted.

U3_GA(T86, T87, deletec17_out_aga(T90, .(T86, T87), T96)) → PERM26_IN_GA(T96)

The remaining pairs can at least be oriented weakly.
Used ordering: Polynomial interpretation [POLO]:

POL(.(x₁, x₂)) = 1 + x₂   
POL(PERM26_IN_GA(x₁)) = 1 + x₁   
POL(U208_aga(x₁, x₂, x₃)) = 1 + x₃   
POL(U3_GA(x₁, x₂, x₃)) = 1 + x₃   
POL(deletec17_in_aga(x₁)) = x₁   
POL(deletec17_out_aga(x₁, x₂, x₃)) = 1 + x₃   

The following usable rules [FROCOS05] were oriented:

deletec17_in_aga(.(T61, T62)) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(.(T70, T71)) → U208_aga(T70, T71, deletec17_in_aga(T71))
U208_aga(T70, T71, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))

(97) Obligation:

Q DP problem:
The TRS P consists of the following rules:

PERM26_IN_GA(.(T86, T87)) → U3_GA(T86, T87, deletec17_in_aga(.(T86, T87)))

The TRS R consists of the following rules:

deletec17_in_aga(.(T61, T62)) → deletec17_out_aga(T61, .(T61, T62), T62)
deletec17_in_aga(.(T70, T71)) → U208_aga(T70, T71, deletec17_in_aga(T71))
U208_aga(T70, T71, deletec17_out_aga(T72, T71, X94)) → deletec17_out_aga(T72, .(T70, T71), .(T70, X94))

The set Q consists of the following terms:

deletec17_in_aga(x0)
U208_aga(x0, x1, x2)

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

(98) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(99) TRUE