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

(0) Obligation:

Clauses:

e(L, T) :- t(L, T).
e(L, T) :- ','(t(L, .(plus, C)), e(C, T)).
t(L, T) :- n(L, T).
t(L, T) :- ','(n(L, .(star, C)), t(C, T)).
n(.(L, T), T) :- z(L).
n(.(lbrace, A), B) :- e(A, .(rbrace, B)).
z(a).
z(b).
z(c).

Query: e(g,a)

(1) PrologToPiTRSViaGraphTransformerProof (SOUND transformation)

Transformed Prolog program to (Pi-)TRS.

digraph dp_graph {
node [outthreshold=100, inthreshold=100];
2 [label="A: e(T1, T2)\n\nT1 is ground", fontsize=16, style=filled, fillcolor=lightyellow, color=red];
5 [label="5: e(T1, T2), SCOPE: 1, CLAUSE: 0 | e(T1, T2), SCOPE: 1, CLAUSE: 1\n\nT1 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
8 [label="8: t(T5, T7) | e(T5, T2), SCOPE: 1, CLAUSE: 1\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
11 [label="11: t(T5, T7), SCOPE: 2, CLAUSE: 2 | t(T5, T7), SCOPE: 2, CLAUSE: 3 | ?_2 | e(T5, T2), SCOPE: 1, CLAUSE: 1\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
13 [label="13: t(T5, T7), SCOPE: 2, CLAUSE: 2\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
14 [label="14: t(T5, T7), SCOPE: 2, CLAUSE: 3 | ?_2 | e(T5, T2), SCOPE: 1, CLAUSE: 1\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
15 [label="B: n(T22, T24)\n\nT22 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
22 [label="22: n(T22, T24), SCOPE: 3, CLAUSE: 4 | n(T22, T24), SCOPE: 3, CLAUSE: 5\n\nT22 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
25 [label="25: n(T22, T24), SCOPE: 3, CLAUSE: 4\n\nT22 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
26 [label="26: n(T22, T24), SCOPE: 3, CLAUSE: 5\n\nT22 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
48 [label="48: z(T35)\n\nT35 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
49 [label="49: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
50 [label="50: z(T35), SCOPE: 4, CLAUSE: 6 | z(T35), SCOPE: 4, CLAUSE: 7 | z(T35), SCOPE: 4, CLAUSE: 8\n\nT35 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
51 [label="51: z(T35), SCOPE: 4, CLAUSE: 6\n\nT35 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
52 [label="52: z(T35), SCOPE: 4, CLAUSE: 7 | z(T35), SCOPE: 4, CLAUSE: 8\n\nT35 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: z(T35), SCOPE: 4, CLAUSE: 7\n\nT35 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
60 [label="60: z(T35), SCOPE: 4, CLAUSE: 8\n\nT35 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: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
65 [label="65: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
67 [label="67: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
88 [label="88: e(T41, .(rbrace, T43))\n\nT41 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
90 [label="90: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
95 [label="95: t(T5, T7), SCOPE: 2, CLAUSE: 3\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
96 [label="96: ?_2 | e(T5, T2), SCOPE: 1, CLAUSE: 1\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
108 [label="C: ','(n(T62, .(star, X55)), t(X55, T64))\n\nT62 is ground\nX55 is free", fontsize=16, style=filled, fillcolor=lightyellow];
117 [label="E: n(T62, .(star, X55))\n\nT62 is ground\nX55 is free", fontsize=16, style=filled, fillcolor=lightyellow];
118 [label="N30: t(T68, T64)\n\nT68 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
122 [label="122: n(T62, .(star, X55)), SCOPE: 5, CLAUSE: 4 | n(T62, .(star, X55)), SCOPE: 5, CLAUSE: 5\n\nT62 is ground\nX55 is free", fontsize=16, style=filled, fillcolor=lightyellow];
126 [label="126: n(T62, .(star, X55)), SCOPE: 5, CLAUSE: 4\n\nT62 is ground\nX55 is free", fontsize=16, style=filled, fillcolor=lightyellow];
127 [label="127: n(T62, .(star, X55)), SCOPE: 5, CLAUSE: 5\n\nT62 is ground\nX55 is free", fontsize=16, style=filled, fillcolor=lightyellow];
136 [label="136: z(T84)\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
139 [label="139: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
142 [label="142: z(T84), SCOPE: 6, CLAUSE: 6 | z(T84), SCOPE: 6, CLAUSE: 7 | z(T84), SCOPE: 6, CLAUSE: 8\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
144 [label="144: z(T84), SCOPE: 6, CLAUSE: 6\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
146 [label="146: z(T84), SCOPE: 6, CLAUSE: 7 | z(T84), SCOPE: 6, CLAUSE: 8\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
149 [label="149: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
151 [label="151: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
153 [label="153: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
155 [label="155: z(T84), SCOPE: 6, CLAUSE: 7\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
156 [label="156: z(T84), SCOPE: 6, CLAUSE: 8\n\nT84 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
157 [label="157: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
158 [label="158: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
159 [label="159: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
161 [label="161: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
178 [label="178: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
180 [label="180: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
192 [label="F: e(T89, .(rbrace, .(star, X78)))\n\nT89 is ground\nX78 is free", fontsize=16, style=filled, fillcolor=lightyellow];
197 [label="197: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
200 [label="200: e(T89, .(rbrace, .(star, X78))), SCOPE: 7, CLAUSE: 0 | e(T89, .(rbrace, .(star, X78))), SCOPE: 7, CLAUSE: 1\n\nT89 is ground\nX78 is free", fontsize=16, style=filled, fillcolor=lightyellow];
204 [label="204: e(T89, .(rbrace, .(star, X78))), SCOPE: 7, CLAUSE: 0\n\nT89 is ground\nX78 is free", fontsize=16, style=filled, fillcolor=lightyellow];
205 [label="205: e(T89, .(rbrace, .(star, X78))), SCOPE: 7, CLAUSE: 1\n\nT89 is ground\nX78 is free", fontsize=16, style=filled, fillcolor=lightyellow];
230 [label="N27: t(T97, .(rbrace, .(star, X102)))\n\nT97 is ground\nX102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
233 [label="233: t(T97, .(rbrace, .(star, X102))), SCOPE: 8, CLAUSE: 2 | t(T97, .(rbrace, .(star, X102))), SCOPE: 8, CLAUSE: 3\n\nT97 is ground\nX102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
236 [label="236: t(T97, .(rbrace, .(star, X102))), SCOPE: 8, CLAUSE: 2\n\nT97 is ground\nX102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
237 [label="237: t(T97, .(rbrace, .(star, X102))), SCOPE: 8, CLAUSE: 3\n\nT97 is ground\nX102 is free", fontsize=16, style=filled, fillcolor=lightyellow];
255 [label="255: n(T109, .(rbrace, .(star, X124)))\n\nT109 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
264 [label="264: n(T109, .(rbrace, .(star, X124))), SCOPE: 9, CLAUSE: 4 | n(T109, .(rbrace, .(star, X124))), SCOPE: 9, CLAUSE: 5\n\nT109 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
267 [label="267: n(T109, .(rbrace, .(star, X124))), SCOPE: 9, CLAUSE: 4\n\nT109 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
268 [label="268: n(T109, .(rbrace, .(star, X124))), SCOPE: 9, CLAUSE: 5\n\nT109 is ground\nX124 is free", fontsize=16, style=filled, fillcolor=lightyellow];
278 [label="278: z(T125)\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
281 [label="281: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
284 [label="284: z(T125), SCOPE: 10, CLAUSE: 6 | z(T125), SCOPE: 10, CLAUSE: 7 | z(T125), SCOPE: 10, CLAUSE: 8\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
286 [label="286: z(T125), SCOPE: 10, CLAUSE: 6\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
287 [label="287: z(T125), SCOPE: 10, CLAUSE: 7 | z(T125), SCOPE: 10, CLAUSE: 8\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
293 [label="293: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
294 [label="294: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
296 [label="296: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
298 [label="298: z(T125), SCOPE: 10, CLAUSE: 7\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
300 [label="300: z(T125), SCOPE: 10, CLAUSE: 8\n\nT125 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
301 [label="301: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
302 [label="302: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
303 [label="303: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
313 [label="313: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
314 [label="314: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
315 [label="315: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
316 [label="N25: e(T130, .(rbrace, .(rbrace, .(star, X145))))\n\nT130 is ground\nX145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
318 [label="318: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
320 [label="320: e(T130, .(rbrace, .(rbrace, .(star, X145)))), SCOPE: 11, CLAUSE: 0 | e(T130, .(rbrace, .(rbrace, .(star, X145)))), SCOPE: 11, CLAUSE: 1\n\nT130 is ground\nX145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
323 [label="323: e(T130, .(rbrace, .(rbrace, .(star, X145)))), SCOPE: 11, CLAUSE: 0\n\nT130 is ground\nX145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
324 [label="324: e(T130, .(rbrace, .(rbrace, .(star, X145)))), SCOPE: 11, CLAUSE: 1\n\nT130 is ground\nX145 is free", fontsize=16, style=filled, fillcolor=lightyellow];
351 [label="N23: t(T138, .(rbrace, .(rbrace, .(star, X169))))\n\nT138 is ground\nX169 is free", fontsize=16, style=filled, fillcolor=lightyellow];
361 [label="361: t(T138, .(rbrace, .(rbrace, .(star, X169)))), SCOPE: 12, CLAUSE: 2 | t(T138, .(rbrace, .(rbrace, .(star, X169)))), SCOPE: 12, CLAUSE: 3\n\nT138 is ground\nX169 is free", fontsize=16, style=filled, fillcolor=lightyellow];
370 [label="370: t(T138, .(rbrace, .(rbrace, .(star, X169)))), SCOPE: 12, CLAUSE: 2\n\nT138 is ground\nX169 is free", fontsize=16, style=filled, fillcolor=lightyellow];
371 [label="371: t(T138, .(rbrace, .(rbrace, .(star, X169)))), SCOPE: 12, CLAUSE: 3\n\nT138 is ground\nX169 is free", fontsize=16, style=filled, fillcolor=lightyellow];
376 [label="376: n(T150, .(rbrace, .(rbrace, .(star, X191))))\n\nT150 is ground\nX191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
379 [label="379: n(T150, .(rbrace, .(rbrace, .(star, X191)))), SCOPE: 13, CLAUSE: 4 | n(T150, .(rbrace, .(rbrace, .(star, X191)))), SCOPE: 13, CLAUSE: 5\n\nT150 is ground\nX191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
380 [label="380: n(T150, .(rbrace, .(rbrace, .(star, X191)))), SCOPE: 13, CLAUSE: 4\n\nT150 is ground\nX191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
382 [label="382: n(T150, .(rbrace, .(rbrace, .(star, X191)))), SCOPE: 13, CLAUSE: 5\n\nT150 is ground\nX191 is free", fontsize=16, style=filled, fillcolor=lightyellow];
385 [label="385: z(T166)\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
387 [label="387: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
389 [label="389: z(T166), SCOPE: 14, CLAUSE: 6 | z(T166), SCOPE: 14, CLAUSE: 7 | z(T166), SCOPE: 14, CLAUSE: 8\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
390 [label="390: z(T166), SCOPE: 14, CLAUSE: 6\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
391 [label="391: z(T166), SCOPE: 14, CLAUSE: 7 | z(T166), SCOPE: 14, CLAUSE: 8\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
392 [label="392: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
393 [label="393: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
394 [label="394: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
396 [label="396: z(T166), SCOPE: 14, CLAUSE: 7\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
397 [label="397: z(T166), SCOPE: 14, CLAUSE: 8\n\nT166 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
398 [label="398: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
399 [label="399: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
400 [label="400: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
401 [label="401: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
402 [label="402: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
403 [label="403: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
405 [label="N21: e(T171, .(rbrace, .(rbrace, .(rbrace, .(star, X212)))))\n\nT171 is ground\nX212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
407 [label="407: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
411 [label="411: e(T171, .(rbrace, .(rbrace, .(rbrace, .(star, X212))))), SCOPE: 15, CLAUSE: 0 | e(T171, .(rbrace, .(rbrace, .(rbrace, .(star, X212))))), SCOPE: 15, CLAUSE: 1\n\nT171 is ground\nX212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
414 [label="414: e(T171, .(rbrace, .(rbrace, .(rbrace, .(star, X212))))), SCOPE: 15, CLAUSE: 0\n\nT171 is ground\nX212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
415 [label="415: e(T171, .(rbrace, .(rbrace, .(rbrace, .(star, X212))))), SCOPE: 15, CLAUSE: 1\n\nT171 is ground\nX212 is free", fontsize=16, style=filled, fillcolor=lightyellow];
418 [label="N19: t(T179, .(rbrace, .(rbrace, .(rbrace, .(star, X236)))))\n\nT179 is ground\nX236 is free", fontsize=16, style=filled, fillcolor=lightyellow];
435 [label="435: t(T179, .(rbrace, .(rbrace, .(rbrace, .(star, X236))))), SCOPE: 16, CLAUSE: 2 | t(T179, .(rbrace, .(rbrace, .(rbrace, .(star, X236))))), SCOPE: 16, CLAUSE: 3\n\nT179 is ground\nX236 is free", fontsize=16, style=filled, fillcolor=lightyellow];
439 [label="439: t(T179, .(rbrace, .(rbrace, .(rbrace, .(star, X236))))), SCOPE: 16, CLAUSE: 2\n\nT179 is ground\nX236 is free", fontsize=16, style=filled, fillcolor=lightyellow];
441 [label="441: t(T179, .(rbrace, .(rbrace, .(rbrace, .(star, X236))))), SCOPE: 16, CLAUSE: 3\n\nT179 is ground\nX236 is free", fontsize=16, style=filled, fillcolor=lightyellow];
465 [label="465: n(T191, .(rbrace, .(rbrace, .(rbrace, .(star, X258)))))\n\nT191 is ground\nX258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
469 [label="469: n(T191, .(rbrace, .(rbrace, .(rbrace, .(star, X258))))), SCOPE: 17, CLAUSE: 4 | n(T191, .(rbrace, .(rbrace, .(rbrace, .(star, X258))))), SCOPE: 17, CLAUSE: 5\n\nT191 is ground\nX258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
471 [label="471: n(T191, .(rbrace, .(rbrace, .(rbrace, .(star, X258))))), SCOPE: 17, CLAUSE: 4\n\nT191 is ground\nX258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
472 [label="472: n(T191, .(rbrace, .(rbrace, .(rbrace, .(star, X258))))), SCOPE: 17, CLAUSE: 5\n\nT191 is ground\nX258 is free", fontsize=16, style=filled, fillcolor=lightyellow];
475 [label="475: z(T207)\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
476 [label="476: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
477 [label="477: z(T207), SCOPE: 18, CLAUSE: 6 | z(T207), SCOPE: 18, CLAUSE: 7 | z(T207), SCOPE: 18, CLAUSE: 8\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
478 [label="478: z(T207), SCOPE: 18, CLAUSE: 6\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
479 [label="479: z(T207), SCOPE: 18, CLAUSE: 7 | z(T207), SCOPE: 18, CLAUSE: 8\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
480 [label="480: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
481 [label="481: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
482 [label="482: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
483 [label="483: z(T207), SCOPE: 18, CLAUSE: 7\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
484 [label="484: z(T207), SCOPE: 18, CLAUSE: 8\n\nT207 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
485 [label="485: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
486 [label="486: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
487 [label="487: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
488 [label="488: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
489 [label="489: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
490 [label="490: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
492 [label="N17: e(T212, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X279))))))\n\nT212 is ground\nX279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
493 [label="493: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
496 [label="496: e(T212, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X279)))))), SCOPE: 19, CLAUSE: 0 | e(T212, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X279)))))), SCOPE: 19, CLAUSE: 1\n\nT212 is ground\nX279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
499 [label="499: e(T212, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X279)))))), SCOPE: 19, CLAUSE: 0\n\nT212 is ground\nX279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
500 [label="500: e(T212, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X279)))))), SCOPE: 19, CLAUSE: 1\n\nT212 is ground\nX279 is free", fontsize=16, style=filled, fillcolor=lightyellow];
508 [label="N15: t(T220, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303))))))\n\nT220 is ground\nX303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
520 [label="520: t(T220, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303)))))), SCOPE: 20, CLAUSE: 2 | t(T220, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303)))))), SCOPE: 20, CLAUSE: 3\n\nT220 is ground\nX303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
523 [label="523: t(T220, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303)))))), SCOPE: 20, CLAUSE: 2\n\nT220 is ground\nX303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
524 [label="524: t(T220, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303)))))), SCOPE: 20, CLAUSE: 3\n\nT220 is ground\nX303 is free", fontsize=16, style=filled, fillcolor=lightyellow];
526 [label="526: n(T232, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325))))))\n\nT232 is ground\nX325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
529 [label="529: n(T232, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325)))))), SCOPE: 21, CLAUSE: 4 | n(T232, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325)))))), SCOPE: 21, CLAUSE: 5\n\nT232 is ground\nX325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
531 [label="531: n(T232, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325)))))), SCOPE: 21, CLAUSE: 4\n\nT232 is ground\nX325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
532 [label="532: n(T232, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325)))))), SCOPE: 21, CLAUSE: 5\n\nT232 is ground\nX325 is free", fontsize=16, style=filled, fillcolor=lightyellow];
534 [label="534: z(T248)\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
535 [label="535: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
536 [label="536: z(T248), SCOPE: 22, CLAUSE: 6 | z(T248), SCOPE: 22, CLAUSE: 7 | z(T248), SCOPE: 22, CLAUSE: 8\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
537 [label="537: z(T248), SCOPE: 22, CLAUSE: 6\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
538 [label="538: z(T248), SCOPE: 22, CLAUSE: 7 | z(T248), SCOPE: 22, CLAUSE: 8\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
539 [label="539: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
540 [label="540: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
541 [label="541: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
542 [label="542: z(T248), SCOPE: 22, CLAUSE: 7\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
543 [label="543: z(T248), SCOPE: 22, CLAUSE: 8\n\nT248 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
544 [label="544: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
545 [label="545: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
546 [label="546: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
547 [label="547: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
548 [label="548: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
549 [label="549: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
553 [label="N13: e(T253, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346)))))))\n\nT253 is ground\nX346 is free", fontsize=16, style=filled, fillcolor=lightyellow];
554 [label="554: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
558 [label="558: e(T253, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346))))))), SCOPE: 23, CLAUSE: 0 | e(T253, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346))))))), SCOPE: 23, CLAUSE: 1\n\nT253 is ground\nX346 is free", fontsize=16, style=filled, fillcolor=lightyellow];
561 [label="561: e(T253, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346))))))), SCOPE: 23, CLAUSE: 0\n\nT253 is ground\nX346 is free", fontsize=16, style=filled, fillcolor=lightyellow];
562 [label="562: e(T253, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346))))))), SCOPE: 23, CLAUSE: 1\n\nT253 is ground\nX346 is free", fontsize=16, style=filled, fillcolor=lightyellow];
578 [label="N11: t(T261, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370)))))))\n\nT261 is ground\nX370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
580 [label="580: t(T261, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370))))))), SCOPE: 24, CLAUSE: 2 | t(T261, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370))))))), SCOPE: 24, CLAUSE: 3\n\nT261 is ground\nX370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
583 [label="583: t(T261, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370))))))), SCOPE: 24, CLAUSE: 2\n\nT261 is ground\nX370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
584 [label="584: t(T261, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370))))))), SCOPE: 24, CLAUSE: 3\n\nT261 is ground\nX370 is free", fontsize=16, style=filled, fillcolor=lightyellow];
601 [label="601: n(T273, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392)))))))\n\nT273 is ground\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
606 [label="606: n(T273, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392))))))), SCOPE: 25, CLAUSE: 4 | n(T273, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392))))))), SCOPE: 25, CLAUSE: 5\n\nT273 is ground\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
607 [label="607: n(T273, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392))))))), SCOPE: 25, CLAUSE: 4\n\nT273 is ground\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
608 [label="608: n(T273, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392))))))), SCOPE: 25, CLAUSE: 5\n\nT273 is ground\nX392 is free", fontsize=16, style=filled, fillcolor=lightyellow];
609 [label="609: z(T289)\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
610 [label="610: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
611 [label="611: z(T289), SCOPE: 26, CLAUSE: 6 | z(T289), SCOPE: 26, CLAUSE: 7 | z(T289), SCOPE: 26, CLAUSE: 8\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
612 [label="612: z(T289), SCOPE: 26, CLAUSE: 6\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
613 [label="613: z(T289), SCOPE: 26, CLAUSE: 7 | z(T289), SCOPE: 26, CLAUSE: 8\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
615 [label="615: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
616 [label="616: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
618 [label="618: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
619 [label="619: z(T289), SCOPE: 26, CLAUSE: 7\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
620 [label="620: z(T289), SCOPE: 26, CLAUSE: 8\n\nT289 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
621 [label="621: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
622 [label="622: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
623 [label="623: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
624 [label="624: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
625 [label="625: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
626 [label="626: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
627 [label="I: e(T294, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413))))))))\n\nT294 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
628 [label="628: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
630 [label="630: e(T294, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413)))))))), SCOPE: 27, CLAUSE: 0 | e(T294, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413)))))))), SCOPE: 27, CLAUSE: 1\n\nT294 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
633 [label="633: e(T294, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413)))))))), SCOPE: 27, CLAUSE: 0\n\nT294 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
634 [label="634: e(T294, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413)))))))), SCOPE: 27, CLAUSE: 1\n\nT294 is ground\nX413 is free", fontsize=16, style=filled, fillcolor=lightyellow];
637 [label="G: t(T302, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437))))))))\n\nT302 is ground\nX437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
639 [label="639: t(T302, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437)))))))), SCOPE: 28, CLAUSE: 2 | t(T302, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437)))))))), SCOPE: 28, CLAUSE: 3\n\nT302 is ground\nX437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
644 [label="644: t(T302, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437)))))))), SCOPE: 28, CLAUSE: 2\n\nT302 is ground\nX437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
645 [label="645: t(T302, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437)))))))), SCOPE: 28, CLAUSE: 3\n\nT302 is ground\nX437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
649 [label="649: n(T314, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459))))))))\n\nT314 is ground\nX459 is free", fontsize=16, style=filled, fillcolor=lightyellow];
654 [label="654: n(T314, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459)))))))), SCOPE: 29, CLAUSE: 4 | n(T314, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459)))))))), SCOPE: 29, CLAUSE: 5\n\nT314 is ground\nX459 is free", fontsize=16, style=filled, fillcolor=lightyellow];
657 [label="657: n(T314, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459)))))))), SCOPE: 29, CLAUSE: 4\n\nT314 is ground\nX459 is free", fontsize=16, style=filled, fillcolor=lightyellow];
658 [label="658: n(T314, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459)))))))), SCOPE: 29, CLAUSE: 5\n\nT314 is ground\nX459 is free", fontsize=16, style=filled, fillcolor=lightyellow];
700 [label="700: z(T330)\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
701 [label="701: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
703 [label="703: z(T330), SCOPE: 30, CLAUSE: 6 | z(T330), SCOPE: 30, CLAUSE: 7 | z(T330), SCOPE: 30, CLAUSE: 8\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
704 [label="704: z(T330), SCOPE: 30, CLAUSE: 6\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
705 [label="705: z(T330), SCOPE: 30, CLAUSE: 7 | z(T330), SCOPE: 30, CLAUSE: 8\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
706 [label="706: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
707 [label="707: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
708 [label="708: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
709 [label="709: z(T330), SCOPE: 30, CLAUSE: 7\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
710 [label="710: z(T330), SCOPE: 30, CLAUSE: 8\n\nT330 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
711 [label="711: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
712 [label="712: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
713 [label="713: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
714 [label="714: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
715 [label="715: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
716 [label="716: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
718 [label="718: e(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))\n\nT335 is ground\nX480 is free", fontsize=16, style=filled, fillcolor=lightyellow];
719 [label="719: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
722 [label="722: e(T335, .(rbrace, T337))\n\nT335 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
749 [label="H: ','(n(T345, .(star, X497)), t(X497, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X498)))))))))\n\nT345 is ground\nX498 is free\nX497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
750 [label="750: n(T345, .(star, X497))\n\nT345 is ground\nX497 is free", fontsize=16, style=filled, fillcolor=lightyellow];
751 [label="751: t(T349, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X498))))))))\n\nT349 is ground\nX498 is free", fontsize=16, style=filled, fillcolor=lightyellow];
759 [label="J: ','(t(T357, .(plus, X518)), e(X518, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X519)))))))))\n\nT357 is ground\nX519 is free\nX518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
762 [label="M: t(T357, .(plus, X518))\n\nT357 is ground\nX518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
763 [label="763: e(T359, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X519))))))))\n\nT359 is ground\nX519 is free", fontsize=16, style=filled, fillcolor=lightyellow];
764 [label="764: t(T357, .(plus, X518)), SCOPE: 31, CLAUSE: 2 | t(T357, .(plus, X518)), SCOPE: 31, CLAUSE: 3\n\nT357 is ground\nX518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
766 [label="766: t(T357, .(plus, X518)), SCOPE: 31, CLAUSE: 2\n\nT357 is ground\nX518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
767 [label="767: t(T357, .(plus, X518)), SCOPE: 31, CLAUSE: 3\n\nT357 is ground\nX518 is free", fontsize=16, style=filled, fillcolor=lightyellow];
771 [label="771: n(T371, .(plus, X544))\n\nT371 is ground\nX544 is free", fontsize=16, style=filled, fillcolor=lightyellow];
774 [label="774: n(T371, .(plus, X544)), SCOPE: 32, CLAUSE: 4 | n(T371, .(plus, X544)), SCOPE: 32, CLAUSE: 5\n\nT371 is ground\nX544 is free", fontsize=16, style=filled, fillcolor=lightyellow];
777 [label="777: n(T371, .(plus, X544)), SCOPE: 32, CLAUSE: 4\n\nT371 is ground\nX544 is free", fontsize=16, style=filled, fillcolor=lightyellow];
778 [label="778: n(T371, .(plus, X544)), SCOPE: 32, CLAUSE: 5\n\nT371 is ground\nX544 is free", fontsize=16, style=filled, fillcolor=lightyellow];
793 [label="793: z(T387)\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
795 [label="795: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
797 [label="797: z(T387), SCOPE: 33, CLAUSE: 6 | z(T387), SCOPE: 33, CLAUSE: 7 | z(T387), SCOPE: 33, CLAUSE: 8\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
798 [label="798: z(T387), SCOPE: 33, CLAUSE: 6\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
799 [label="799: z(T387), SCOPE: 33, CLAUSE: 7 | z(T387), SCOPE: 33, CLAUSE: 8\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
800 [label="800: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
801 [label="801: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
802 [label="802: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
803 [label="803: z(T387), SCOPE: 33, CLAUSE: 7\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
804 [label="804: z(T387), SCOPE: 33, CLAUSE: 8\n\nT387 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
805 [label="805: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
806 [label="806: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
807 [label="807: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
808 [label="808: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
809 [label="809: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
810 [label="810: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
815 [label="N: e(T392, .(rbrace, .(plus, X565)))\n\nT392 is ground\nX565 is free", fontsize=16, style=filled, fillcolor=lightyellow];
816 [label="816: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
819 [label="819: e(T392, .(rbrace, .(plus, X565))), SCOPE: 34, CLAUSE: 0 | e(T392, .(rbrace, .(plus, X565))), SCOPE: 34, CLAUSE: 1\n\nT392 is ground\nX565 is free", fontsize=16, style=filled, fillcolor=lightyellow];
846 [label="846: e(T392, .(rbrace, .(plus, X565))), SCOPE: 34, CLAUSE: 0\n\nT392 is ground\nX565 is free", fontsize=16, style=filled, fillcolor=lightyellow];
847 [label="847: e(T392, .(rbrace, .(plus, X565))), SCOPE: 34, CLAUSE: 1\n\nT392 is ground\nX565 is free", fontsize=16, style=filled, fillcolor=lightyellow];
852 [label="N8: t(T400, .(rbrace, .(plus, X589)))\n\nT400 is ground\nX589 is free", fontsize=16, style=filled, fillcolor=lightyellow];
855 [label="855: t(T400, .(rbrace, .(plus, X589))), SCOPE: 35, CLAUSE: 2 | t(T400, .(rbrace, .(plus, X589))), SCOPE: 35, CLAUSE: 3\n\nT400 is ground\nX589 is free", fontsize=16, style=filled, fillcolor=lightyellow];
873 [label="873: t(T400, .(rbrace, .(plus, X589))), SCOPE: 35, CLAUSE: 2\n\nT400 is ground\nX589 is free", fontsize=16, style=filled, fillcolor=lightyellow];
875 [label="875: t(T400, .(rbrace, .(plus, X589))), SCOPE: 35, CLAUSE: 3\n\nT400 is ground\nX589 is free", fontsize=16, style=filled, fillcolor=lightyellow];
903 [label="903: n(T412, .(rbrace, .(plus, X611)))\n\nT412 is ground\nX611 is free", fontsize=16, style=filled, fillcolor=lightyellow];
908 [label="908: n(T412, .(rbrace, .(plus, X611))), SCOPE: 36, CLAUSE: 4 | n(T412, .(rbrace, .(plus, X611))), SCOPE: 36, CLAUSE: 5\n\nT412 is ground\nX611 is free", fontsize=16, style=filled, fillcolor=lightyellow];
910 [label="910: n(T412, .(rbrace, .(plus, X611))), SCOPE: 36, CLAUSE: 4\n\nT412 is ground\nX611 is free", fontsize=16, style=filled, fillcolor=lightyellow];
911 [label="911: n(T412, .(rbrace, .(plus, X611))), SCOPE: 36, CLAUSE: 5\n\nT412 is ground\nX611 is free", fontsize=16, style=filled, fillcolor=lightyellow];
921 [label="921: z(T428)\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
922 [label="922: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
925 [label="925: z(T428), SCOPE: 37, CLAUSE: 6 | z(T428), SCOPE: 37, CLAUSE: 7 | z(T428), SCOPE: 37, CLAUSE: 8\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
926 [label="926: z(T428), SCOPE: 37, CLAUSE: 6\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
927 [label="927: z(T428), SCOPE: 37, CLAUSE: 7 | z(T428), SCOPE: 37, CLAUSE: 8\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
928 [label="928: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
929 [label="929: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
930 [label="930: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
931 [label="931: z(T428), SCOPE: 37, CLAUSE: 7\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
932 [label="932: z(T428), SCOPE: 37, CLAUSE: 8\n\nT428 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
933 [label="933: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
934 [label="934: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
935 [label="935: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
936 [label="936: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
937 [label="937: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
938 [label="938: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
940 [label="N6: e(T433, .(rbrace, .(rbrace, .(plus, X632))))\n\nT433 is ground\nX632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
941 [label="941: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
945 [label="945: e(T433, .(rbrace, .(rbrace, .(plus, X632)))), SCOPE: 38, CLAUSE: 0 | e(T433, .(rbrace, .(rbrace, .(plus, X632)))), SCOPE: 38, CLAUSE: 1\n\nT433 is ground\nX632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
986 [label="986: e(T433, .(rbrace, .(rbrace, .(plus, X632)))), SCOPE: 38, CLAUSE: 0\n\nT433 is ground\nX632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
987 [label="987: e(T433, .(rbrace, .(rbrace, .(plus, X632)))), SCOPE: 38, CLAUSE: 1\n\nT433 is ground\nX632 is free", fontsize=16, style=filled, fillcolor=lightyellow];
991 [label="N4: t(T441, .(rbrace, .(rbrace, .(plus, X656))))\n\nT441 is ground\nX656 is free", fontsize=16, style=filled, fillcolor=lightyellow];
995 [label="995: t(T441, .(rbrace, .(rbrace, .(plus, X656)))), SCOPE: 39, CLAUSE: 2 | t(T441, .(rbrace, .(rbrace, .(plus, X656)))), SCOPE: 39, CLAUSE: 3\n\nT441 is ground\nX656 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1004 [label="1004: t(T441, .(rbrace, .(rbrace, .(plus, X656)))), SCOPE: 39, CLAUSE: 2\n\nT441 is ground\nX656 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1005 [label="1005: t(T441, .(rbrace, .(rbrace, .(plus, X656)))), SCOPE: 39, CLAUSE: 3\n\nT441 is ground\nX656 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1009 [label="1009: n(T453, .(rbrace, .(rbrace, .(plus, X678))))\n\nT453 is ground\nX678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1014 [label="1014: n(T453, .(rbrace, .(rbrace, .(plus, X678)))), SCOPE: 40, CLAUSE: 4 | n(T453, .(rbrace, .(rbrace, .(plus, X678)))), SCOPE: 40, CLAUSE: 5\n\nT453 is ground\nX678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1023 [label="1023: n(T453, .(rbrace, .(rbrace, .(plus, X678)))), SCOPE: 40, CLAUSE: 4\n\nT453 is ground\nX678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1024 [label="1024: n(T453, .(rbrace, .(rbrace, .(plus, X678)))), SCOPE: 40, CLAUSE: 5\n\nT453 is ground\nX678 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1049 [label="1049: z(T469)\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1050 [label="1050: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1051 [label="1051: z(T469), SCOPE: 41, CLAUSE: 6 | z(T469), SCOPE: 41, CLAUSE: 7 | z(T469), SCOPE: 41, CLAUSE: 8\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1052 [label="1052: z(T469), SCOPE: 41, CLAUSE: 6\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1053 [label="1053: z(T469), SCOPE: 41, CLAUSE: 7 | z(T469), SCOPE: 41, CLAUSE: 8\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1054 [label="1054: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1055 [label="1055: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1056 [label="1056: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1057 [label="1057: z(T469), SCOPE: 41, CLAUSE: 7\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1058 [label="1058: z(T469), SCOPE: 41, CLAUSE: 8\n\nT469 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1059 [label="1059: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1060 [label="1060: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1061 [label="1061: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1062 [label="1062: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1063 [label="1063: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1065 [label="1065: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1069 [label="N2: e(T474, .(rbrace, .(rbrace, .(rbrace, .(plus, X699)))))\n\nT474 is ground\nX699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1070 [label="1070: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1073 [label="1073: e(T474, .(rbrace, .(rbrace, .(rbrace, .(plus, X699))))), SCOPE: 42, CLAUSE: 0 | e(T474, .(rbrace, .(rbrace, .(rbrace, .(plus, X699))))), SCOPE: 42, CLAUSE: 1\n\nT474 is ground\nX699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1078 [label="1078: e(T474, .(rbrace, .(rbrace, .(rbrace, .(plus, X699))))), SCOPE: 42, CLAUSE: 0\n\nT474 is ground\nX699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1079 [label="1079: e(T474, .(rbrace, .(rbrace, .(rbrace, .(plus, X699))))), SCOPE: 42, CLAUSE: 1\n\nT474 is ground\nX699 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1082 [label="Z: t(T482, .(rbrace, .(rbrace, .(rbrace, .(plus, X723)))))\n\nT482 is ground\nX723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1084 [label="1084: t(T482, .(rbrace, .(rbrace, .(rbrace, .(plus, X723))))), SCOPE: 43, CLAUSE: 2 | t(T482, .(rbrace, .(rbrace, .(rbrace, .(plus, X723))))), SCOPE: 43, CLAUSE: 3\n\nT482 is ground\nX723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1087 [label="1087: t(T482, .(rbrace, .(rbrace, .(rbrace, .(plus, X723))))), SCOPE: 43, CLAUSE: 2\n\nT482 is ground\nX723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1089 [label="1089: t(T482, .(rbrace, .(rbrace, .(rbrace, .(plus, X723))))), SCOPE: 43, CLAUSE: 3\n\nT482 is ground\nX723 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1092 [label="1092: n(T494, .(rbrace, .(rbrace, .(rbrace, .(plus, X745)))))\n\nT494 is ground\nX745 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1095 [label="1095: n(T494, .(rbrace, .(rbrace, .(rbrace, .(plus, X745))))), SCOPE: 44, CLAUSE: 4 | n(T494, .(rbrace, .(rbrace, .(rbrace, .(plus, X745))))), SCOPE: 44, CLAUSE: 5\n\nT494 is ground\nX745 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1097 [label="1097: n(T494, .(rbrace, .(rbrace, .(rbrace, .(plus, X745))))), SCOPE: 44, CLAUSE: 4\n\nT494 is ground\nX745 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1098 [label="1098: n(T494, .(rbrace, .(rbrace, .(rbrace, .(plus, X745))))), SCOPE: 44, CLAUSE: 5\n\nT494 is ground\nX745 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1104 [label="1104: z(T510)\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1105 [label="1105: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1106 [label="1106: z(T510), SCOPE: 45, CLAUSE: 6 | z(T510), SCOPE: 45, CLAUSE: 7 | z(T510), SCOPE: 45, CLAUSE: 8\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1107 [label="1107: z(T510), SCOPE: 45, CLAUSE: 6\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1108 [label="1108: z(T510), SCOPE: 45, CLAUSE: 7 | z(T510), SCOPE: 45, CLAUSE: 8\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1109 [label="1109: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1110 [label="1110: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1111 [label="1111: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1112 [label="1112: z(T510), SCOPE: 45, CLAUSE: 7\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1113 [label="1113: z(T510), SCOPE: 45, CLAUSE: 8\n\nT510 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1114 [label="1114: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1115 [label="1115: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1116 [label="1116: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1117 [label="1117: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1118 [label="1118: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1119 [label="1119: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1139 [label="X: e(T515, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X766))))))\n\nT515 is ground\nX766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1140 [label="1140: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1156 [label="1156: e(T515, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X766)))))), SCOPE: 46, CLAUSE: 0 | e(T515, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X766)))))), SCOPE: 46, CLAUSE: 1\n\nT515 is ground\nX766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1160 [label="1160: e(T515, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X766)))))), SCOPE: 46, CLAUSE: 0\n\nT515 is ground\nX766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1161 [label="1161: e(T515, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X766)))))), SCOPE: 46, CLAUSE: 1\n\nT515 is ground\nX766 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1165 [label="V: t(T523, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790))))))\n\nT523 is ground\nX790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1166 [label="1166: t(T523, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790)))))), SCOPE: 47, CLAUSE: 2 | t(T523, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790)))))), SCOPE: 47, CLAUSE: 3\n\nT523 is ground\nX790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1170 [label="1170: t(T523, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790)))))), SCOPE: 47, CLAUSE: 2\n\nT523 is ground\nX790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1171 [label="1171: t(T523, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790)))))), SCOPE: 47, CLAUSE: 3\n\nT523 is ground\nX790 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1176 [label="1176: n(T535, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812))))))\n\nT535 is ground\nX812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1177 [label="1177: n(T535, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812)))))), SCOPE: 48, CLAUSE: 4 | n(T535, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812)))))), SCOPE: 48, CLAUSE: 5\n\nT535 is ground\nX812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1179 [label="1179: n(T535, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812)))))), SCOPE: 48, CLAUSE: 4\n\nT535 is ground\nX812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1180 [label="1180: n(T535, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812)))))), SCOPE: 48, CLAUSE: 5\n\nT535 is ground\nX812 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1182 [label="1182: z(T551)\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1183 [label="1183: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1184 [label="1184: z(T551), SCOPE: 49, CLAUSE: 6 | z(T551), SCOPE: 49, CLAUSE: 7 | z(T551), SCOPE: 49, CLAUSE: 8\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1186 [label="1186: z(T551), SCOPE: 49, CLAUSE: 6\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1187 [label="1187: z(T551), SCOPE: 49, CLAUSE: 7 | z(T551), SCOPE: 49, CLAUSE: 8\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1188 [label="1188: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1189 [label="1189: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1190 [label="1190: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1191 [label="1191: z(T551), SCOPE: 49, CLAUSE: 7\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1192 [label="1192: z(T551), SCOPE: 49, CLAUSE: 8\n\nT551 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1193 [label="1193: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1194 [label="1194: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1195 [label="1195: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1196 [label="1196: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1198 [label="1198: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1200 [label="1200: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1203 [label="T: e(T556, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833)))))))\n\nT556 is ground\nX833 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1204 [label="1204: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1221 [label="1221: e(T556, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833))))))), SCOPE: 50, CLAUSE: 0 | e(T556, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833))))))), SCOPE: 50, CLAUSE: 1\n\nT556 is ground\nX833 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1224 [label="1224: e(T556, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833))))))), SCOPE: 50, CLAUSE: 0\n\nT556 is ground\nX833 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1225 [label="1225: e(T556, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833))))))), SCOPE: 50, CLAUSE: 1\n\nT556 is ground\nX833 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1228 [label="R: t(T564, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857)))))))\n\nT564 is ground\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1231 [label="1231: t(T564, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857))))))), SCOPE: 51, CLAUSE: 2 | t(T564, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857))))))), SCOPE: 51, CLAUSE: 3\n\nT564 is ground\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1235 [label="1235: t(T564, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857))))))), SCOPE: 51, CLAUSE: 2\n\nT564 is ground\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1236 [label="1236: t(T564, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857))))))), SCOPE: 51, CLAUSE: 3\n\nT564 is ground\nX857 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1238 [label="1238: n(T576, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879)))))))\n\nT576 is ground\nX879 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1240 [label="1240: n(T576, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879))))))), SCOPE: 52, CLAUSE: 4 | n(T576, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879))))))), SCOPE: 52, CLAUSE: 5\n\nT576 is ground\nX879 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1249 [label="1249: n(T576, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879))))))), SCOPE: 52, CLAUSE: 4\n\nT576 is ground\nX879 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1250 [label="1250: n(T576, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879))))))), SCOPE: 52, CLAUSE: 5\n\nT576 is ground\nX879 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1251 [label="1251: z(T592)\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1252 [label="1252: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1253 [label="1253: z(T592), SCOPE: 53, CLAUSE: 6 | z(T592), SCOPE: 53, CLAUSE: 7 | z(T592), SCOPE: 53, CLAUSE: 8\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1254 [label="1254: z(T592), SCOPE: 53, CLAUSE: 6\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1255 [label="1255: z(T592), SCOPE: 53, CLAUSE: 7 | z(T592), SCOPE: 53, CLAUSE: 8\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1256 [label="1256: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1257 [label="1257: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1258 [label="1258: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1259 [label="1259: z(T592), SCOPE: 53, CLAUSE: 7\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1260 [label="1260: z(T592), SCOPE: 53, CLAUSE: 8\n\nT592 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1261 [label="1261: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1262 [label="1262: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1263 [label="1263: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1264 [label="1264: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1265 [label="1265: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1266 [label="1266: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1271 [label="P: e(T597, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900))))))))\n\nT597 is ground\nX900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1272 [label="1272: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1274 [label="1274: e(T597, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900)))))))), SCOPE: 54, CLAUSE: 0 | e(T597, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900)))))))), SCOPE: 54, CLAUSE: 1\n\nT597 is ground\nX900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1276 [label="1276: e(T597, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900)))))))), SCOPE: 54, CLAUSE: 0\n\nT597 is ground\nX900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1277 [label="1277: e(T597, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900)))))))), SCOPE: 54, CLAUSE: 1\n\nT597 is ground\nX900 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1295 [label="K: t(T605, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924))))))))\n\nT605 is ground\nX924 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1298 [label="1298: t(T605, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924)))))))), SCOPE: 55, CLAUSE: 2 | t(T605, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924)))))))), SCOPE: 55, CLAUSE: 3\n\nT605 is ground\nX924 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1301 [label="1301: t(T605, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924)))))))), SCOPE: 55, CLAUSE: 2\n\nT605 is ground\nX924 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1302 [label="1302: t(T605, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924)))))))), SCOPE: 55, CLAUSE: 3\n\nT605 is ground\nX924 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1305 [label="1305: n(T617, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946))))))))\n\nT617 is ground\nX946 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1306 [label="1306: n(T617, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946)))))))), SCOPE: 56, CLAUSE: 4 | n(T617, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946)))))))), SCOPE: 56, CLAUSE: 5\n\nT617 is ground\nX946 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1309 [label="1309: n(T617, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946)))))))), SCOPE: 56, CLAUSE: 4\n\nT617 is ground\nX946 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1310 [label="1310: n(T617, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946)))))))), SCOPE: 56, CLAUSE: 5\n\nT617 is ground\nX946 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1311 [label="1311: z(T633)\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1312 [label="1312: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1313 [label="1313: z(T633), SCOPE: 57, CLAUSE: 6 | z(T633), SCOPE: 57, CLAUSE: 7 | z(T633), SCOPE: 57, CLAUSE: 8\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1314 [label="1314: z(T633), SCOPE: 57, CLAUSE: 6\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1315 [label="1315: z(T633), SCOPE: 57, CLAUSE: 7 | z(T633), SCOPE: 57, CLAUSE: 8\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1316 [label="1316: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1317 [label="1317: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1318 [label="1318: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1319 [label="1319: z(T633), SCOPE: 57, CLAUSE: 7\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1320 [label="1320: z(T633), SCOPE: 57, CLAUSE: 8\n\nT633 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1321 [label="1321: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1322 [label="1322: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1323 [label="1323: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1324 [label="1324: true\n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1325 [label="1325: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1326 [label="1326: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1328 [label="1328: e(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))\n\nT638 is ground\nX967 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1329 [label="1329: \n\n", fontsize=16, style=filled, fillcolor=lightyellow];
1332 [label="1332: e(T638, .(rbrace, T640))\n\nT638 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1336 [label="L: ','(n(T648, .(star, X984)), t(X984, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X985)))))))))\n\nT648 is ground\nX985 is free\nX984 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1338 [label="1338: n(T648, .(star, X984))\n\nT648 is ground\nX984 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1339 [label="1339: t(T652, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X985))))))))\n\nT652 is ground\nX985 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1342 [label="Q: ','(t(T660, .(plus, X1005)), e(X1005, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1006)))))))))\n\nT660 is ground\nX1006 is free\nX1005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1343 [label="1343: t(T660, .(plus, X1005))\n\nT660 is ground\nX1005 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1344 [label="1344: e(T662, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1006))))))))\n\nT662 is ground\nX1006 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1351 [label="S: ','(n(T670, .(star, X1027)), t(X1027, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1028))))))))\n\nT670 is ground\nX1028 is free\nX1027 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1354 [label="1354: n(T670, .(star, X1027))\n\nT670 is ground\nX1027 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1355 [label="1355: t(T674, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1028)))))))\n\nT674 is ground\nX1028 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1360 [label="U: ','(t(T682, .(plus, X1048)), e(X1048, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1049))))))))\n\nT682 is ground\nX1049 is free\nX1048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1362 [label="1362: t(T682, .(plus, X1048))\n\nT682 is ground\nX1048 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1363 [label="1363: e(T684, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1049)))))))\n\nT684 is ground\nX1049 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1369 [label="W: ','(n(T692, .(star, X1070)), t(X1070, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1071)))))))\n\nT692 is ground\nX1071 is free\nX1070 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1371 [label="1371: n(T692, .(star, X1070))\n\nT692 is ground\nX1070 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1372 [label="1372: t(T696, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1071))))))\n\nT696 is ground\nX1071 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1375 [label="Y: ','(t(T704, .(plus, X1091)), e(X1091, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1092)))))))\n\nT704 is ground\nX1092 is free\nX1091 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1377 [label="1377: t(T704, .(plus, X1091))\n\nT704 is ground\nX1091 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1378 [label="1378: e(T706, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1092))))))\n\nT706 is ground\nX1092 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1384 [label="N1: ','(n(T714, .(star, X1113)), t(X1113, .(rbrace, .(rbrace, .(rbrace, .(plus, X1114))))))\n\nT714 is ground\nX1114 is free\nX1113 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1386 [label="1386: n(T714, .(star, X1113))\n\nT714 is ground\nX1113 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1387 [label="1387: t(T718, .(rbrace, .(rbrace, .(rbrace, .(plus, X1114)))))\n\nT718 is ground\nX1114 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1390 [label="N3: ','(t(T726, .(plus, X1134)), e(X1134, .(rbrace, .(rbrace, .(rbrace, .(plus, X1135))))))\n\nT726 is ground\nX1135 is free\nX1134 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1391 [label="1391: t(T726, .(plus, X1134))\n\nT726 is ground\nX1134 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1392 [label="1392: e(T728, .(rbrace, .(rbrace, .(rbrace, .(plus, X1135)))))\n\nT728 is ground\nX1135 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1393 [label="N5: ','(n(T736, .(star, X1156)), t(X1156, .(rbrace, .(rbrace, .(plus, X1157)))))\n\nT736 is ground\nX1157 is free\nX1156 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1395 [label="1395: n(T736, .(star, X1156))\n\nT736 is ground\nX1156 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1396 [label="1396: t(T740, .(rbrace, .(rbrace, .(plus, X1157))))\n\nT740 is ground\nX1157 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1402 [label="N7: ','(t(T748, .(plus, X1177)), e(X1177, .(rbrace, .(rbrace, .(plus, X1178)))))\n\nT748 is ground\nX1178 is free\nX1177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1404 [label="1404: t(T748, .(plus, X1177))\n\nT748 is ground\nX1177 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1405 [label="1405: e(T750, .(rbrace, .(rbrace, .(plus, X1178))))\n\nT750 is ground\nX1178 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1408 [label="N9: ','(n(T758, .(star, X1199)), t(X1199, .(rbrace, .(plus, X1200))))\n\nT758 is ground\nX1200 is free\nX1199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1409 [label="1409: n(T758, .(star, X1199))\n\nT758 is ground\nX1199 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1410 [label="1410: t(T762, .(rbrace, .(plus, X1200)))\n\nT762 is ground\nX1200 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1415 [label="N10: ','(t(T770, .(plus, X1220)), e(X1220, .(rbrace, .(plus, X1221))))\n\nT770 is ground\nX1221 is free\nX1220 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1416 [label="1416: t(T770, .(plus, X1220))\n\nT770 is ground\nX1220 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1417 [label="1417: e(T772, .(rbrace, .(plus, X1221)))\n\nT772 is ground\nX1221 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1423 [label="O: ','(n(T780, .(star, X1242)), t(X1242, .(plus, X1243)))\n\nT780 is ground\nX1243 is free\nX1242 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1424 [label="1424: n(T780, .(star, X1242))\n\nT780 is ground\nX1242 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1425 [label="1425: t(T784, .(plus, X1243))\n\nT784 is ground\nX1243 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1430 [label="N12: ','(n(T795, .(star, X1265)), t(X1265, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1266))))))))\n\nT795 is ground\nX1266 is free\nX1265 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1431 [label="1431: n(T795, .(star, X1265))\n\nT795 is ground\nX1265 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1432 [label="1432: t(T799, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1266)))))))\n\nT799 is ground\nX1266 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1438 [label="N14: ','(t(T807, .(plus, X1286)), e(X1286, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1287))))))))\n\nT807 is ground\nX1287 is free\nX1286 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1439 [label="1439: t(T807, .(plus, X1286))\n\nT807 is ground\nX1286 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1440 [label="1440: e(T809, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1287)))))))\n\nT809 is ground\nX1287 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1445 [label="N16: ','(n(T817, .(star, X1308)), t(X1308, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1309)))))))\n\nT817 is ground\nX1309 is free\nX1308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1446 [label="1446: n(T817, .(star, X1308))\n\nT817 is ground\nX1308 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1447 [label="1447: t(T821, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1309))))))\n\nT821 is ground\nX1309 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1453 [label="N18: ','(t(T829, .(plus, X1329)), e(X1329, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1330)))))))\n\nT829 is ground\nX1330 is free\nX1329 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1454 [label="1454: t(T829, .(plus, X1329))\n\nT829 is ground\nX1329 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1455 [label="1455: e(T831, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1330))))))\n\nT831 is ground\nX1330 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1459 [label="N20: ','(n(T839, .(star, X1351)), t(X1351, .(rbrace, .(rbrace, .(rbrace, .(star, X1352))))))\n\nT839 is ground\nX1352 is free\nX1351 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1460 [label="1460: n(T839, .(star, X1351))\n\nT839 is ground\nX1351 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1461 [label="1461: t(T843, .(rbrace, .(rbrace, .(rbrace, .(star, X1352)))))\n\nT843 is ground\nX1352 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1468 [label="N22: ','(t(T851, .(plus, X1372)), e(X1372, .(rbrace, .(rbrace, .(rbrace, .(star, X1373))))))\n\nT851 is ground\nX1373 is free\nX1372 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1469 [label="1469: t(T851, .(plus, X1372))\n\nT851 is ground\nX1372 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1470 [label="1470: e(T853, .(rbrace, .(rbrace, .(rbrace, .(star, X1373)))))\n\nT853 is ground\nX1373 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1474 [label="N24: ','(n(T861, .(star, X1394)), t(X1394, .(rbrace, .(rbrace, .(star, X1395)))))\n\nT861 is ground\nX1395 is free\nX1394 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1475 [label="1475: n(T861, .(star, X1394))\n\nT861 is ground\nX1394 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1476 [label="1476: t(T865, .(rbrace, .(rbrace, .(star, X1395))))\n\nT865 is ground\nX1395 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1481 [label="N26: ','(t(T873, .(plus, X1415)), e(X1415, .(rbrace, .(rbrace, .(star, X1416)))))\n\nT873 is ground\nX1416 is free\nX1415 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1484 [label="1484: t(T873, .(plus, X1415))\n\nT873 is ground\nX1415 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1485 [label="1485: e(T875, .(rbrace, .(rbrace, .(star, X1416))))\n\nT875 is ground\nX1416 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1490 [label="N28: ','(n(T883, .(star, X1437)), t(X1437, .(rbrace, .(star, X1438))))\n\nT883 is ground\nX1438 is free\nX1437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1491 [label="1491: n(T883, .(star, X1437))\n\nT883 is ground\nX1437 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1492 [label="1492: t(T887, .(rbrace, .(star, X1438)))\n\nT887 is ground\nX1438 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1496 [label="N29: ','(t(T895, .(plus, X1458)), e(X1458, .(rbrace, .(star, X1459))))\n\nT895 is ground\nX1459 is free\nX1458 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1502 [label="1502: t(T895, .(plus, X1458))\n\nT895 is ground\nX1458 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1503 [label="1503: e(T897, .(rbrace, .(star, X1459)))\n\nT897 is ground\nX1459 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1505 [label="1505: t(T68, T64), SCOPE: 58, CLAUSE: 2 | t(T68, T64), SCOPE: 58, CLAUSE: 3\n\nT68 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1508 [label="1508: t(T68, T64), SCOPE: 58, CLAUSE: 2\n\nT68 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1509 [label="1509: t(T68, T64), SCOPE: 58, CLAUSE: 3\n\nT68 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1510 [label="1510: n(T916, T918)\n\nT916 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1513 [label="1513: ','(n(T929, .(star, X1496)), t(X1496, T931))\n\nT929 is ground\nX1496 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1516 [label="1516: e(T5, T2), SCOPE: 1, CLAUSE: 1\n\nT5 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1519 [label="D: ','(t(T941, .(plus, X1509)), e(X1509, T943))\n\nT941 is ground\nX1509 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1520 [label="1520: t(T941, .(plus, X1509))\n\nT941 is ground\nX1509 is free", fontsize=16, style=filled, fillcolor=lightyellow];
1521 [label="1521: e(T945, T943)\n\nT945 is ground", fontsize=16, style=filled, fillcolor=lightyellow];
1522 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
2 -> 1522 [arrowhead = none ];
1522 -> 5;

1523 [label="ONLY EVAL with clause\ne(X3, X4) :- t(X3, X4).\nand substitutionT1 -> T5,\nX3 -> T5,\nT2 -> T7,\nX4 -> T7,\nT6 -> T7", fontsize=14, style = filled, fillcolor = lightblue];
5 -> 1523 [arrowhead = none ];
1523 -> 8;

1524 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
8 -> 1524 [arrowhead = none ];
1524 -> 11;

1525 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
11 -> 1525 [arrowhead = none ];
1525 -> 13;

1526 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
11 -> 1526 [arrowhead = none ];
1526 -> 14;

1527 [label="ONLY EVAL with clause\nt(X17, X18) :- n(X17, X18).\nand substitutionT5 -> T22,\nX17 -> T22,\nT7 -> T24,\nX18 -> T24,\nT23 -> T24", fontsize=14, style = filled, fillcolor = lightblue];
13 -> 1527 [arrowhead = none ];
1527 -> 15;

1528 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
14 -> 1528 [arrowhead = none ];
1528 -> 95;

1529 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
14 -> 1529 [arrowhead = none ];
1529 -> 96;

1530 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
15 -> 1530 [arrowhead = none ];
1530 -> 22;

1531 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 1531 [arrowhead = none ];
1531 -> 25;

1532 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
22 -> 1532 [arrowhead = none ];
1532 -> 26;

1533 [label="EVAL with clause\nn(.(X29, X30), X30) :- z(X29).\nand substitutionX29 -> T35,\nX30 -> T36,\nT22 -> .(T35, T36),\nT24 -> T36", fontsize=14, style = filled, fillcolor = lightblue];
25 -> 1533 [arrowhead = none ];
1533 -> 48;

1534 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
25 -> 1534 [arrowhead = none ];
1534 -> 49;

1535 [label="EVAL with clause\nn(.(lbrace, X35), X36) :- e(X35, .(rbrace, X36)).\nand substitutionX35 -> T41,\nT22 -> .(lbrace, T41),\nT24 -> T43,\nX36 -> T43,\nT42 -> T43", fontsize=14, style = filled, fillcolor = lightblue];
26 -> 1535 [arrowhead = none ];
1535 -> 88;

1536 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
26 -> 1536 [arrowhead = none ];
1536 -> 90;

1537 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
48 -> 1537 [arrowhead = none ];
1537 -> 50;

1538 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
50 -> 1538 [arrowhead = none ];
1538 -> 51;

1539 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
50 -> 1539 [arrowhead = none ];
1539 -> 52;

1540 [label="EVAL with clause\nz(a).\nand substitutionT35 -> a", fontsize=14, style = filled, fillcolor = lightblue];
51 -> 1540 [arrowhead = none ];
1540 -> 56;

1541 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
51 -> 1541 [arrowhead = none ];
1541 -> 57;

1542 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
52 -> 1542 [arrowhead = none ];
1542 -> 59;

1543 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
52 -> 1543 [arrowhead = none ];
1543 -> 60;

1544 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
56 -> 1544 [arrowhead = none ];
1544 -> 58;

1545 [label="EVAL with clause\nz(b).\nand substitutionT35 -> b", fontsize=14, style = filled, fillcolor = lightblue];
59 -> 1545 [arrowhead = none ];
1545 -> 61;

1546 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
59 -> 1546 [arrowhead = none ];
1546 -> 62;

1547 [label="EVAL with clause\nz(c).\nand substitutionT35 -> c", fontsize=14, style = filled, fillcolor = lightblue];
60 -> 1547 [arrowhead = none ];
1547 -> 64;

1548 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
60 -> 1548 [arrowhead = none ];
1548 -> 65;

1549 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
61 -> 1549 [arrowhead = none ];
1549 -> 63;

1550 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
64 -> 1550 [arrowhead = none ];
1550 -> 67;

1551 [label="INSTANCE with matching:\nT1 -> T41\nT2 -> .(rbrace, T43)", fontsize=14, style = filled, fillcolor = lightgrey];
88 -> 1551 [arrowhead = none , style=dashed];
1551 -> 2[style=dashed];

1552 [label="ONLY EVAL with clause\nt(X53, X54) :- ','(n(X53, .(star, X55)), t(X55, X54)).\nand substitutionT5 -> T62,\nX53 -> T62,\nT7 -> T64,\nX54 -> T64,\nT63 -> T64", fontsize=14, style = filled, fillcolor = lightblue];
95 -> 1552 [arrowhead = none ];
1552 -> 108;

1553 [label="FAILURE", fontsize=14, style = filled, fillcolor = lightgreen];
96 -> 1553 [arrowhead = none ];
1553 -> 1516;

1554 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
108 -> 1554 [arrowhead = none ];
1554 -> 117;

1555 [label="SPLIT 2\nnew knowledge:\nT62 is ground\nT68 is ground\nreplacements:X55 -> T68", fontsize=14, style = filled, fillcolor = violet];
108 -> 1555 [arrowhead = none ];
1555 -> 118;

1556 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
117 -> 1556 [arrowhead = none ];
1556 -> 122;

1557 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
118 -> 1557 [arrowhead = none ];
1557 -> 1505;

1558 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
122 -> 1558 [arrowhead = none ];
1558 -> 126;

1559 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
122 -> 1559 [arrowhead = none ];
1559 -> 127;

1560 [label="EVAL with clause\nn(.(X68, X69), X69) :- z(X68).\nand substitutionX68 -> T84,\nX69 -> .(star, T86),\nT62 -> .(T84, .(star, T86)),\nX55 -> T86,\nT85 -> .(star, T86)", fontsize=14, style = filled, fillcolor = lightblue];
126 -> 1560 [arrowhead = none ];
1560 -> 136;

1561 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
126 -> 1561 [arrowhead = none ];
1561 -> 139;

1562 [label="EVAL with clause\nn(.(lbrace, X76), X77) :- e(X76, .(rbrace, X77)).\nand substitutionX76 -> T89,\nT62 -> .(lbrace, T89),\nX55 -> X78,\nX77 -> .(star, X78)", fontsize=14, style = filled, fillcolor = lightblue];
127 -> 1562 [arrowhead = none ];
1562 -> 192;

1563 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
127 -> 1563 [arrowhead = none ];
1563 -> 197;

1564 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
136 -> 1564 [arrowhead = none ];
1564 -> 142;

1565 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
142 -> 1565 [arrowhead = none ];
1565 -> 144;

1566 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
142 -> 1566 [arrowhead = none ];
1566 -> 146;

1567 [label="EVAL with clause\nz(a).\nand substitutionT84 -> a", fontsize=14, style = filled, fillcolor = lightblue];
144 -> 1567 [arrowhead = none ];
1567 -> 149;

1568 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
144 -> 1568 [arrowhead = none ];
1568 -> 151;

1569 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 1569 [arrowhead = none ];
1569 -> 155;

1570 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
146 -> 1570 [arrowhead = none ];
1570 -> 156;

1571 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
149 -> 1571 [arrowhead = none ];
1571 -> 153;

1572 [label="EVAL with clause\nz(b).\nand substitutionT84 -> b", fontsize=14, style = filled, fillcolor = lightblue];
155 -> 1572 [arrowhead = none ];
1572 -> 157;

1573 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
155 -> 1573 [arrowhead = none ];
1573 -> 158;

1574 [label="EVAL with clause\nz(c).\nand substitutionT84 -> c", fontsize=14, style = filled, fillcolor = lightblue];
156 -> 1574 [arrowhead = none ];
1574 -> 161;

1575 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
156 -> 1575 [arrowhead = none ];
1575 -> 178;

1576 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
157 -> 1576 [arrowhead = none ];
1576 -> 159;

1577 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
161 -> 1577 [arrowhead = none ];
1577 -> 180;

1578 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
192 -> 1578 [arrowhead = none ];
1578 -> 200;

1579 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
200 -> 1579 [arrowhead = none ];
1579 -> 204;

1580 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
200 -> 1580 [arrowhead = none ];
1580 -> 205;

1581 [label="ONLY EVAL with clause\ne(X100, X101) :- t(X100, X101).\nand substitutionT89 -> T97,\nX100 -> T97,\nX78 -> X102,\nX101 -> .(rbrace, .(star, X102))", fontsize=14, style = filled, fillcolor = lightblue];
204 -> 1581 [arrowhead = none ];
1581 -> 230;

1582 [label="ONLY EVAL with clause\ne(X1456, X1457) :- ','(t(X1456, .(plus, X1458)), e(X1458, X1457)).\nand substitutionT89 -> T895,\nX1456 -> T895,\nX78 -> X1459,\nX1457 -> .(rbrace, .(star, X1459))", fontsize=14, style = filled, fillcolor = lightblue];
205 -> 1582 [arrowhead = none ];
1582 -> 1496;

1583 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
230 -> 1583 [arrowhead = none ];
1583 -> 233;

1584 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
233 -> 1584 [arrowhead = none ];
1584 -> 236;

1585 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
233 -> 1585 [arrowhead = none ];
1585 -> 237;

1586 [label="ONLY EVAL with clause\nt(X122, X123) :- n(X122, X123).\nand substitutionT97 -> T109,\nX122 -> T109,\nX102 -> X124,\nX123 -> .(rbrace, .(star, X124))", fontsize=14, style = filled, fillcolor = lightblue];
236 -> 1586 [arrowhead = none ];
1586 -> 255;

1587 [label="ONLY EVAL with clause\nt(X1435, X1436) :- ','(n(X1435, .(star, X1437)), t(X1437, X1436)).\nand substitutionT97 -> T883,\nX1435 -> T883,\nX102 -> X1438,\nX1436 -> .(rbrace, .(star, X1438))", fontsize=14, style = filled, fillcolor = lightblue];
237 -> 1587 [arrowhead = none ];
1587 -> 1490;

1588 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
255 -> 1588 [arrowhead = none ];
1588 -> 264;

1589 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
264 -> 1589 [arrowhead = none ];
1589 -> 267;

1590 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
264 -> 1590 [arrowhead = none ];
1590 -> 268;

1591 [label="EVAL with clause\nn(.(X135, X136), X136) :- z(X135).\nand substitutionX135 -> T125,\nX136 -> .(rbrace, .(star, T127)),\nT109 -> .(T125, .(rbrace, .(star, T127))),\nX124 -> T127,\nT126 -> .(rbrace, .(star, T127))", fontsize=14, style = filled, fillcolor = lightblue];
267 -> 1591 [arrowhead = none ];
1591 -> 278;

1592 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
267 -> 1592 [arrowhead = none ];
1592 -> 281;

1593 [label="EVAL with clause\nn(.(lbrace, X143), X144) :- e(X143, .(rbrace, X144)).\nand substitutionX143 -> T130,\nT109 -> .(lbrace, T130),\nX124 -> X145,\nX144 -> .(rbrace, .(star, X145))", fontsize=14, style = filled, fillcolor = lightblue];
268 -> 1593 [arrowhead = none ];
1593 -> 316;

1594 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
268 -> 1594 [arrowhead = none ];
1594 -> 318;

1595 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
278 -> 1595 [arrowhead = none ];
1595 -> 284;

1596 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 1596 [arrowhead = none ];
1596 -> 286;

1597 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
284 -> 1597 [arrowhead = none ];
1597 -> 287;

1598 [label="EVAL with clause\nz(a).\nand substitutionT125 -> a", fontsize=14, style = filled, fillcolor = lightblue];
286 -> 1598 [arrowhead = none ];
1598 -> 293;

1599 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
286 -> 1599 [arrowhead = none ];
1599 -> 294;

1600 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
287 -> 1600 [arrowhead = none ];
1600 -> 298;

1601 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
287 -> 1601 [arrowhead = none ];
1601 -> 300;

1602 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
293 -> 1602 [arrowhead = none ];
1602 -> 296;

1603 [label="EVAL with clause\nz(b).\nand substitutionT125 -> b", fontsize=14, style = filled, fillcolor = lightblue];
298 -> 1603 [arrowhead = none ];
1603 -> 301;

1604 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
298 -> 1604 [arrowhead = none ];
1604 -> 302;

1605 [label="EVAL with clause\nz(c).\nand substitutionT125 -> c", fontsize=14, style = filled, fillcolor = lightblue];
300 -> 1605 [arrowhead = none ];
1605 -> 313;

1606 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
300 -> 1606 [arrowhead = none ];
1606 -> 314;

1607 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
301 -> 1607 [arrowhead = none ];
1607 -> 303;

1608 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
313 -> 1608 [arrowhead = none ];
1608 -> 315;

1609 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
316 -> 1609 [arrowhead = none ];
1609 -> 320;

1610 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
320 -> 1610 [arrowhead = none ];
1610 -> 323;

1611 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
320 -> 1611 [arrowhead = none ];
1611 -> 324;

1612 [label="ONLY EVAL with clause\ne(X167, X168) :- t(X167, X168).\nand substitutionT130 -> T138,\nX167 -> T138,\nX145 -> X169,\nX168 -> .(rbrace, .(rbrace, .(star, X169)))", fontsize=14, style = filled, fillcolor = lightblue];
323 -> 1612 [arrowhead = none ];
1612 -> 351;

1613 [label="ONLY EVAL with clause\ne(X1413, X1414) :- ','(t(X1413, .(plus, X1415)), e(X1415, X1414)).\nand substitutionT130 -> T873,\nX1413 -> T873,\nX145 -> X1416,\nX1414 -> .(rbrace, .(rbrace, .(star, X1416)))", fontsize=14, style = filled, fillcolor = lightblue];
324 -> 1613 [arrowhead = none ];
1613 -> 1481;

1614 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
351 -> 1614 [arrowhead = none ];
1614 -> 361;

1615 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
361 -> 1615 [arrowhead = none ];
1615 -> 370;

1616 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
361 -> 1616 [arrowhead = none ];
1616 -> 371;

1617 [label="ONLY EVAL with clause\nt(X189, X190) :- n(X189, X190).\nand substitutionT138 -> T150,\nX189 -> T150,\nX169 -> X191,\nX190 -> .(rbrace, .(rbrace, .(star, X191)))", fontsize=14, style = filled, fillcolor = lightblue];
370 -> 1617 [arrowhead = none ];
1617 -> 376;

1618 [label="ONLY EVAL with clause\nt(X1392, X1393) :- ','(n(X1392, .(star, X1394)), t(X1394, X1393)).\nand substitutionT138 -> T861,\nX1392 -> T861,\nX169 -> X1395,\nX1393 -> .(rbrace, .(rbrace, .(star, X1395)))", fontsize=14, style = filled, fillcolor = lightblue];
371 -> 1618 [arrowhead = none ];
1618 -> 1474;

1619 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
376 -> 1619 [arrowhead = none ];
1619 -> 379;

1620 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
379 -> 1620 [arrowhead = none ];
1620 -> 380;

1621 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
379 -> 1621 [arrowhead = none ];
1621 -> 382;

1622 [label="EVAL with clause\nn(.(X202, X203), X203) :- z(X202).\nand substitutionX202 -> T166,\nX203 -> .(rbrace, .(rbrace, .(star, T168))),\nT150 -> .(T166, .(rbrace, .(rbrace, .(star, T168)))),\nX191 -> T168,\nT167 -> .(rbrace, .(rbrace, .(star, T168)))", fontsize=14, style = filled, fillcolor = lightblue];
380 -> 1622 [arrowhead = none ];
1622 -> 385;

1623 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
380 -> 1623 [arrowhead = none ];
1623 -> 387;

1624 [label="EVAL with clause\nn(.(lbrace, X210), X211) :- e(X210, .(rbrace, X211)).\nand substitutionX210 -> T171,\nT150 -> .(lbrace, T171),\nX191 -> X212,\nX211 -> .(rbrace, .(rbrace, .(star, X212)))", fontsize=14, style = filled, fillcolor = lightblue];
382 -> 1624 [arrowhead = none ];
1624 -> 405;

1625 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
382 -> 1625 [arrowhead = none ];
1625 -> 407;

1626 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
385 -> 1626 [arrowhead = none ];
1626 -> 389;

1627 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
389 -> 1627 [arrowhead = none ];
1627 -> 390;

1628 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
389 -> 1628 [arrowhead = none ];
1628 -> 391;

1629 [label="EVAL with clause\nz(a).\nand substitutionT166 -> a", fontsize=14, style = filled, fillcolor = lightblue];
390 -> 1629 [arrowhead = none ];
1629 -> 392;

1630 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
390 -> 1630 [arrowhead = none ];
1630 -> 393;

1631 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
391 -> 1631 [arrowhead = none ];
1631 -> 396;

1632 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
391 -> 1632 [arrowhead = none ];
1632 -> 397;

1633 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
392 -> 1633 [arrowhead = none ];
1633 -> 394;

1634 [label="EVAL with clause\nz(b).\nand substitutionT166 -> b", fontsize=14, style = filled, fillcolor = lightblue];
396 -> 1634 [arrowhead = none ];
1634 -> 398;

1635 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
396 -> 1635 [arrowhead = none ];
1635 -> 399;

1636 [label="EVAL with clause\nz(c).\nand substitutionT166 -> c", fontsize=14, style = filled, fillcolor = lightblue];
397 -> 1636 [arrowhead = none ];
1636 -> 401;

1637 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
397 -> 1637 [arrowhead = none ];
1637 -> 402;

1638 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
398 -> 1638 [arrowhead = none ];
1638 -> 400;

1639 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
401 -> 1639 [arrowhead = none ];
1639 -> 403;

1640 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
405 -> 1640 [arrowhead = none ];
1640 -> 411;

1641 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
411 -> 1641 [arrowhead = none ];
1641 -> 414;

1642 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
411 -> 1642 [arrowhead = none ];
1642 -> 415;

1643 [label="ONLY EVAL with clause\ne(X234, X235) :- t(X234, X235).\nand substitutionT171 -> T179,\nX234 -> T179,\nX212 -> X236,\nX235 -> .(rbrace, .(rbrace, .(rbrace, .(star, X236))))", fontsize=14, style = filled, fillcolor = lightblue];
414 -> 1643 [arrowhead = none ];
1643 -> 418;

1644 [label="ONLY EVAL with clause\ne(X1370, X1371) :- ','(t(X1370, .(plus, X1372)), e(X1372, X1371)).\nand substitutionT171 -> T851,\nX1370 -> T851,\nX212 -> X1373,\nX1371 -> .(rbrace, .(rbrace, .(rbrace, .(star, X1373))))", fontsize=14, style = filled, fillcolor = lightblue];
415 -> 1644 [arrowhead = none ];
1644 -> 1468;

1645 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
418 -> 1645 [arrowhead = none ];
1645 -> 435;

1646 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
435 -> 1646 [arrowhead = none ];
1646 -> 439;

1647 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
435 -> 1647 [arrowhead = none ];
1647 -> 441;

1648 [label="ONLY EVAL with clause\nt(X256, X257) :- n(X256, X257).\nand substitutionT179 -> T191,\nX256 -> T191,\nX236 -> X258,\nX257 -> .(rbrace, .(rbrace, .(rbrace, .(star, X258))))", fontsize=14, style = filled, fillcolor = lightblue];
439 -> 1648 [arrowhead = none ];
1648 -> 465;

1649 [label="ONLY EVAL with clause\nt(X1349, X1350) :- ','(n(X1349, .(star, X1351)), t(X1351, X1350)).\nand substitutionT179 -> T839,\nX1349 -> T839,\nX236 -> X1352,\nX1350 -> .(rbrace, .(rbrace, .(rbrace, .(star, X1352))))", fontsize=14, style = filled, fillcolor = lightblue];
441 -> 1649 [arrowhead = none ];
1649 -> 1459;

1650 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
465 -> 1650 [arrowhead = none ];
1650 -> 469;

1651 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
469 -> 1651 [arrowhead = none ];
1651 -> 471;

1652 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
469 -> 1652 [arrowhead = none ];
1652 -> 472;

1653 [label="EVAL with clause\nn(.(X269, X270), X270) :- z(X269).\nand substitutionX269 -> T207,\nX270 -> .(rbrace, .(rbrace, .(rbrace, .(star, T209)))),\nT191 -> .(T207, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))),\nX258 -> T209,\nT208 -> .(rbrace, .(rbrace, .(rbrace, .(star, T209))))", fontsize=14, style = filled, fillcolor = lightblue];
471 -> 1653 [arrowhead = none ];
1653 -> 475;

1654 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
471 -> 1654 [arrowhead = none ];
1654 -> 476;

1655 [label="EVAL with clause\nn(.(lbrace, X277), X278) :- e(X277, .(rbrace, X278)).\nand substitutionX277 -> T212,\nT191 -> .(lbrace, T212),\nX258 -> X279,\nX278 -> .(rbrace, .(rbrace, .(rbrace, .(star, X279))))", fontsize=14, style = filled, fillcolor = lightblue];
472 -> 1655 [arrowhead = none ];
1655 -> 492;

1656 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
472 -> 1656 [arrowhead = none ];
1656 -> 493;

1657 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
475 -> 1657 [arrowhead = none ];
1657 -> 477;

1658 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
477 -> 1658 [arrowhead = none ];
1658 -> 478;

1659 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
477 -> 1659 [arrowhead = none ];
1659 -> 479;

1660 [label="EVAL with clause\nz(a).\nand substitutionT207 -> a", fontsize=14, style = filled, fillcolor = lightblue];
478 -> 1660 [arrowhead = none ];
1660 -> 480;

1661 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
478 -> 1661 [arrowhead = none ];
1661 -> 481;

1662 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
479 -> 1662 [arrowhead = none ];
1662 -> 483;

1663 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
479 -> 1663 [arrowhead = none ];
1663 -> 484;

1664 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
480 -> 1664 [arrowhead = none ];
1664 -> 482;

1665 [label="EVAL with clause\nz(b).\nand substitutionT207 -> b", fontsize=14, style = filled, fillcolor = lightblue];
483 -> 1665 [arrowhead = none ];
1665 -> 485;

1666 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
483 -> 1666 [arrowhead = none ];
1666 -> 486;

1667 [label="EVAL with clause\nz(c).\nand substitutionT207 -> c", fontsize=14, style = filled, fillcolor = lightblue];
484 -> 1667 [arrowhead = none ];
1667 -> 488;

1668 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
484 -> 1668 [arrowhead = none ];
1668 -> 489;

1669 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
485 -> 1669 [arrowhead = none ];
1669 -> 487;

1670 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
488 -> 1670 [arrowhead = none ];
1670 -> 490;

1671 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
492 -> 1671 [arrowhead = none ];
1671 -> 496;

1672 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
496 -> 1672 [arrowhead = none ];
1672 -> 499;

1673 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
496 -> 1673 [arrowhead = none ];
1673 -> 500;

1674 [label="ONLY EVAL with clause\ne(X301, X302) :- t(X301, X302).\nand substitutionT212 -> T220,\nX301 -> T220,\nX279 -> X303,\nX302 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X303)))))", fontsize=14, style = filled, fillcolor = lightblue];
499 -> 1674 [arrowhead = none ];
1674 -> 508;

1675 [label="ONLY EVAL with clause\ne(X1327, X1328) :- ','(t(X1327, .(plus, X1329)), e(X1329, X1328)).\nand substitutionT212 -> T829,\nX1327 -> T829,\nX279 -> X1330,\nX1328 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1330)))))", fontsize=14, style = filled, fillcolor = lightblue];
500 -> 1675 [arrowhead = none ];
1675 -> 1453;

1676 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
508 -> 1676 [arrowhead = none ];
1676 -> 520;

1677 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
520 -> 1677 [arrowhead = none ];
1677 -> 523;

1678 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
520 -> 1678 [arrowhead = none ];
1678 -> 524;

1679 [label="ONLY EVAL with clause\nt(X323, X324) :- n(X323, X324).\nand substitutionT220 -> T232,\nX323 -> T232,\nX303 -> X325,\nX324 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X325)))))", fontsize=14, style = filled, fillcolor = lightblue];
523 -> 1679 [arrowhead = none ];
1679 -> 526;

1680 [label="ONLY EVAL with clause\nt(X1306, X1307) :- ','(n(X1306, .(star, X1308)), t(X1308, X1307)).\nand substitutionT220 -> T817,\nX1306 -> T817,\nX303 -> X1309,\nX1307 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1309)))))", fontsize=14, style = filled, fillcolor = lightblue];
524 -> 1680 [arrowhead = none ];
1680 -> 1445;

1681 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
526 -> 1681 [arrowhead = none ];
1681 -> 529;

1682 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
529 -> 1682 [arrowhead = none ];
1682 -> 531;

1683 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
529 -> 1683 [arrowhead = none ];
1683 -> 532;

1684 [label="EVAL with clause\nn(.(X336, X337), X337) :- z(X336).\nand substitutionX336 -> T248,\nX337 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))),\nT232 -> .(T248, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))),\nX325 -> T250,\nT249 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))", fontsize=14, style = filled, fillcolor = lightblue];
531 -> 1684 [arrowhead = none ];
1684 -> 534;

1685 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
531 -> 1685 [arrowhead = none ];
1685 -> 535;

1686 [label="EVAL with clause\nn(.(lbrace, X344), X345) :- e(X344, .(rbrace, X345)).\nand substitutionX344 -> T253,\nT232 -> .(lbrace, T253),\nX325 -> X346,\nX345 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X346)))))", fontsize=14, style = filled, fillcolor = lightblue];
532 -> 1686 [arrowhead = none ];
1686 -> 553;

1687 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
532 -> 1687 [arrowhead = none ];
1687 -> 554;

1688 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
534 -> 1688 [arrowhead = none ];
1688 -> 536;

1689 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
536 -> 1689 [arrowhead = none ];
1689 -> 537;

1690 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
536 -> 1690 [arrowhead = none ];
1690 -> 538;

1691 [label="EVAL with clause\nz(a).\nand substitutionT248 -> a", fontsize=14, style = filled, fillcolor = lightblue];
537 -> 1691 [arrowhead = none ];
1691 -> 539;

1692 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
537 -> 1692 [arrowhead = none ];
1692 -> 540;

1693 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
538 -> 1693 [arrowhead = none ];
1693 -> 542;

1694 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
538 -> 1694 [arrowhead = none ];
1694 -> 543;

1695 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
539 -> 1695 [arrowhead = none ];
1695 -> 541;

1696 [label="EVAL with clause\nz(b).\nand substitutionT248 -> b", fontsize=14, style = filled, fillcolor = lightblue];
542 -> 1696 [arrowhead = none ];
1696 -> 544;

1697 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
542 -> 1697 [arrowhead = none ];
1697 -> 545;

1698 [label="EVAL with clause\nz(c).\nand substitutionT248 -> c", fontsize=14, style = filled, fillcolor = lightblue];
543 -> 1698 [arrowhead = none ];
1698 -> 547;

1699 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
543 -> 1699 [arrowhead = none ];
1699 -> 548;

1700 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
544 -> 1700 [arrowhead = none ];
1700 -> 546;

1701 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
547 -> 1701 [arrowhead = none ];
1701 -> 549;

1702 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
553 -> 1702 [arrowhead = none ];
1702 -> 558;

1703 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
558 -> 1703 [arrowhead = none ];
1703 -> 561;

1704 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
558 -> 1704 [arrowhead = none ];
1704 -> 562;

1705 [label="ONLY EVAL with clause\ne(X368, X369) :- t(X368, X369).\nand substitutionT253 -> T261,\nX368 -> T261,\nX346 -> X370,\nX369 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X370))))))", fontsize=14, style = filled, fillcolor = lightblue];
561 -> 1705 [arrowhead = none ];
1705 -> 578;

1706 [label="ONLY EVAL with clause\ne(X1284, X1285) :- ','(t(X1284, .(plus, X1286)), e(X1286, X1285)).\nand substitutionT253 -> T807,\nX1284 -> T807,\nX346 -> X1287,\nX1285 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1287))))))", fontsize=14, style = filled, fillcolor = lightblue];
562 -> 1706 [arrowhead = none ];
1706 -> 1438;

1707 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
578 -> 1707 [arrowhead = none ];
1707 -> 580;

1708 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
580 -> 1708 [arrowhead = none ];
1708 -> 583;

1709 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
580 -> 1709 [arrowhead = none ];
1709 -> 584;

1710 [label="ONLY EVAL with clause\nt(X390, X391) :- n(X390, X391).\nand substitutionT261 -> T273,\nX390 -> T273,\nX370 -> X392,\nX391 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X392))))))", fontsize=14, style = filled, fillcolor = lightblue];
583 -> 1710 [arrowhead = none ];
1710 -> 601;

1711 [label="ONLY EVAL with clause\nt(X1263, X1264) :- ','(n(X1263, .(star, X1265)), t(X1265, X1264)).\nand substitutionT261 -> T795,\nX1263 -> T795,\nX370 -> X1266,\nX1264 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X1266))))))", fontsize=14, style = filled, fillcolor = lightblue];
584 -> 1711 [arrowhead = none ];
1711 -> 1430;

1712 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
601 -> 1712 [arrowhead = none ];
1712 -> 606;

1713 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
606 -> 1713 [arrowhead = none ];
1713 -> 607;

1714 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
606 -> 1714 [arrowhead = none ];
1714 -> 608;

1715 [label="EVAL with clause\nn(.(X403, X404), X404) :- z(X403).\nand substitutionX403 -> T289,\nX404 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))),\nT273 -> .(T289, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))),\nX392 -> T291,\nT290 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))", fontsize=14, style = filled, fillcolor = lightblue];
607 -> 1715 [arrowhead = none ];
1715 -> 609;

1716 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
607 -> 1716 [arrowhead = none ];
1716 -> 610;

1717 [label="EVAL with clause\nn(.(lbrace, X411), X412) :- e(X411, .(rbrace, X412)).\nand substitutionX411 -> T294,\nT273 -> .(lbrace, T294),\nX392 -> X413,\nX412 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X413))))))", fontsize=14, style = filled, fillcolor = lightblue];
608 -> 1717 [arrowhead = none ];
1717 -> 627;

1718 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
608 -> 1718 [arrowhead = none ];
1718 -> 628;

1719 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
609 -> 1719 [arrowhead = none ];
1719 -> 611;

1720 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
611 -> 1720 [arrowhead = none ];
1720 -> 612;

1721 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
611 -> 1721 [arrowhead = none ];
1721 -> 613;

1722 [label="EVAL with clause\nz(a).\nand substitutionT289 -> a", fontsize=14, style = filled, fillcolor = lightblue];
612 -> 1722 [arrowhead = none ];
1722 -> 615;

1723 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
612 -> 1723 [arrowhead = none ];
1723 -> 616;

1724 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
613 -> 1724 [arrowhead = none ];
1724 -> 619;

1725 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
613 -> 1725 [arrowhead = none ];
1725 -> 620;

1726 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
615 -> 1726 [arrowhead = none ];
1726 -> 618;

1727 [label="EVAL with clause\nz(b).\nand substitutionT289 -> b", fontsize=14, style = filled, fillcolor = lightblue];
619 -> 1727 [arrowhead = none ];
1727 -> 621;

1728 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
619 -> 1728 [arrowhead = none ];
1728 -> 622;

1729 [label="EVAL with clause\nz(c).\nand substitutionT289 -> c", fontsize=14, style = filled, fillcolor = lightblue];
620 -> 1729 [arrowhead = none ];
1729 -> 624;

1730 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
620 -> 1730 [arrowhead = none ];
1730 -> 625;

1731 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
621 -> 1731 [arrowhead = none ];
1731 -> 623;

1732 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
624 -> 1732 [arrowhead = none ];
1732 -> 626;

1733 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
627 -> 1733 [arrowhead = none ];
1733 -> 630;

1734 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
630 -> 1734 [arrowhead = none ];
1734 -> 633;

1735 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
630 -> 1735 [arrowhead = none ];
1735 -> 634;

1736 [label="ONLY EVAL with clause\ne(X435, X436) :- t(X435, X436).\nand substitutionT294 -> T302,\nX435 -> T302,\nX413 -> X437,\nX436 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X437)))))))", fontsize=14, style = filled, fillcolor = lightblue];
633 -> 1736 [arrowhead = none ];
1736 -> 637;

1737 [label="ONLY EVAL with clause\ne(X516, X517) :- ','(t(X516, .(plus, X518)), e(X518, X517)).\nand substitutionT294 -> T357,\nX516 -> T357,\nX413 -> X519,\nX517 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X519)))))))", fontsize=14, style = filled, fillcolor = lightblue];
634 -> 1737 [arrowhead = none ];
1737 -> 759;

1738 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
637 -> 1738 [arrowhead = none ];
1738 -> 639;

1739 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
639 -> 1739 [arrowhead = none ];
1739 -> 644;

1740 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
639 -> 1740 [arrowhead = none ];
1740 -> 645;

1741 [label="ONLY EVAL with clause\nt(X457, X458) :- n(X457, X458).\nand substitutionT302 -> T314,\nX457 -> T314,\nX437 -> X459,\nX458 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X459)))))))", fontsize=14, style = filled, fillcolor = lightblue];
644 -> 1741 [arrowhead = none ];
1741 -> 649;

1742 [label="ONLY EVAL with clause\nt(X495, X496) :- ','(n(X495, .(star, X497)), t(X497, X496)).\nand substitutionT302 -> T345,\nX495 -> T345,\nX437 -> X498,\nX496 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X498)))))))", fontsize=14, style = filled, fillcolor = lightblue];
645 -> 1742 [arrowhead = none ];
1742 -> 749;

1743 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
649 -> 1743 [arrowhead = none ];
1743 -> 654;

1744 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
654 -> 1744 [arrowhead = none ];
1744 -> 657;

1745 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
654 -> 1745 [arrowhead = none ];
1745 -> 658;

1746 [label="EVAL with clause\nn(.(X470, X471), X471) :- z(X470).\nand substitutionX470 -> T330,\nX471 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))),\nT314 -> .(T330, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))),\nX459 -> T332,\nT331 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))", fontsize=14, style = filled, fillcolor = lightblue];
657 -> 1746 [arrowhead = none ];
1746 -> 700;

1747 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
657 -> 1747 [arrowhead = none ];
1747 -> 701;

1748 [label="EVAL with clause\nn(.(lbrace, X478), X479) :- e(X478, .(rbrace, X479)).\nand substitutionX478 -> T335,\nT314 -> .(lbrace, T335),\nX459 -> X480,\nX479 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))", fontsize=14, style = filled, fillcolor = lightblue];
658 -> 1748 [arrowhead = none ];
1748 -> 718;

1749 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
658 -> 1749 [arrowhead = none ];
1749 -> 719;

1750 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
700 -> 1750 [arrowhead = none ];
1750 -> 703;

1751 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
703 -> 1751 [arrowhead = none ];
1751 -> 704;

1752 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
703 -> 1752 [arrowhead = none ];
1752 -> 705;

1753 [label="EVAL with clause\nz(a).\nand substitutionT330 -> a", fontsize=14, style = filled, fillcolor = lightblue];
704 -> 1753 [arrowhead = none ];
1753 -> 706;

1754 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
704 -> 1754 [arrowhead = none ];
1754 -> 707;

1755 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
705 -> 1755 [arrowhead = none ];
1755 -> 709;

1756 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
705 -> 1756 [arrowhead = none ];
1756 -> 710;

1757 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
706 -> 1757 [arrowhead = none ];
1757 -> 708;

1758 [label="EVAL with clause\nz(b).\nand substitutionT330 -> b", fontsize=14, style = filled, fillcolor = lightblue];
709 -> 1758 [arrowhead = none ];
1758 -> 711;

1759 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
709 -> 1759 [arrowhead = none ];
1759 -> 712;

1760 [label="EVAL with clause\nz(c).\nand substitutionT330 -> c", fontsize=14, style = filled, fillcolor = lightblue];
710 -> 1760 [arrowhead = none ];
1760 -> 714;

1761 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
710 -> 1761 [arrowhead = none ];
1761 -> 715;

1762 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
711 -> 1762 [arrowhead = none ];
1762 -> 713;

1763 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
714 -> 1763 [arrowhead = none ];
1763 -> 716;

1764 [label="GENERALIZATION\nT337 <-- .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))", fontsize=14, style = filled, fillcolor = violet];
718 -> 1764 [arrowhead = none ];
1764 -> 722;

1765 [label="INSTANCE with matching:\nT1 -> T335\nT2 -> .(rbrace, T337)", fontsize=14, style = filled, fillcolor = lightgrey];
722 -> 1765 [arrowhead = none , style=dashed];
1765 -> 2[style=dashed];

1766 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
749 -> 1766 [arrowhead = none ];
1766 -> 750;

1767 [label="SPLIT 2\nnew knowledge:\nT345 is ground\nT349 is ground\nreplacements:X497 -> T349", fontsize=14, style = filled, fillcolor = violet];
749 -> 1767 [arrowhead = none ];
1767 -> 751;

1768 [label="INSTANCE with matching:\nT62 -> T345\nX55 -> X497", fontsize=14, style = filled, fillcolor = lightgrey];
750 -> 1768 [arrowhead = none , style=dashed];
1768 -> 117[style=dashed];

1769 [label="INSTANCE with matching:\nT302 -> T349\nX437 -> X498", fontsize=14, style = filled, fillcolor = lightgrey];
751 -> 1769 [arrowhead = none , style=dashed];
1769 -> 637[style=dashed];

1770 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
759 -> 1770 [arrowhead = none ];
1770 -> 762;

1771 [label="SPLIT 2\nnew knowledge:\nT357 is ground\nT359 is ground\nreplacements:X518 -> T359", fontsize=14, style = filled, fillcolor = violet];
759 -> 1771 [arrowhead = none ];
1771 -> 763;

1772 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
762 -> 1772 [arrowhead = none ];
1772 -> 764;

1773 [label="INSTANCE with matching:\nT294 -> T359\nX413 -> X519", fontsize=14, style = filled, fillcolor = lightgrey];
763 -> 1773 [arrowhead = none , style=dashed];
1773 -> 627[style=dashed];

1774 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
764 -> 1774 [arrowhead = none ];
1774 -> 766;

1775 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
764 -> 1775 [arrowhead = none ];
1775 -> 767;

1776 [label="ONLY EVAL with clause\nt(X542, X543) :- n(X542, X543).\nand substitutionT357 -> T371,\nX542 -> T371,\nX518 -> X544,\nX543 -> .(plus, X544)", fontsize=14, style = filled, fillcolor = lightblue];
766 -> 1776 [arrowhead = none ];
1776 -> 771;

1777 [label="ONLY EVAL with clause\nt(X1240, X1241) :- ','(n(X1240, .(star, X1242)), t(X1242, X1241)).\nand substitutionT357 -> T780,\nX1240 -> T780,\nX518 -> X1243,\nX1241 -> .(plus, X1243)", fontsize=14, style = filled, fillcolor = lightblue];
767 -> 1777 [arrowhead = none ];
1777 -> 1423;

1778 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
771 -> 1778 [arrowhead = none ];
1778 -> 774;

1779 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
774 -> 1779 [arrowhead = none ];
1779 -> 777;

1780 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
774 -> 1780 [arrowhead = none ];
1780 -> 778;

1781 [label="EVAL with clause\nn(.(X555, X556), X556) :- z(X555).\nand substitutionX555 -> T387,\nX556 -> .(plus, T389),\nT371 -> .(T387, .(plus, T389)),\nX544 -> T389,\nT388 -> .(plus, T389)", fontsize=14, style = filled, fillcolor = lightblue];
777 -> 1781 [arrowhead = none ];
1781 -> 793;

1782 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
777 -> 1782 [arrowhead = none ];
1782 -> 795;

1783 [label="EVAL with clause\nn(.(lbrace, X563), X564) :- e(X563, .(rbrace, X564)).\nand substitutionX563 -> T392,\nT371 -> .(lbrace, T392),\nX544 -> X565,\nX564 -> .(plus, X565)", fontsize=14, style = filled, fillcolor = lightblue];
778 -> 1783 [arrowhead = none ];
1783 -> 815;

1784 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
778 -> 1784 [arrowhead = none ];
1784 -> 816;

1785 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
793 -> 1785 [arrowhead = none ];
1785 -> 797;

1786 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
797 -> 1786 [arrowhead = none ];
1786 -> 798;

1787 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
797 -> 1787 [arrowhead = none ];
1787 -> 799;

1788 [label="EVAL with clause\nz(a).\nand substitutionT387 -> a", fontsize=14, style = filled, fillcolor = lightblue];
798 -> 1788 [arrowhead = none ];
1788 -> 800;

1789 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
798 -> 1789 [arrowhead = none ];
1789 -> 801;

1790 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
799 -> 1790 [arrowhead = none ];
1790 -> 803;

1791 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
799 -> 1791 [arrowhead = none ];
1791 -> 804;

1792 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
800 -> 1792 [arrowhead = none ];
1792 -> 802;

1793 [label="EVAL with clause\nz(b).\nand substitutionT387 -> b", fontsize=14, style = filled, fillcolor = lightblue];
803 -> 1793 [arrowhead = none ];
1793 -> 805;

1794 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
803 -> 1794 [arrowhead = none ];
1794 -> 806;

1795 [label="EVAL with clause\nz(c).\nand substitutionT387 -> c", fontsize=14, style = filled, fillcolor = lightblue];
804 -> 1795 [arrowhead = none ];
1795 -> 808;

1796 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
804 -> 1796 [arrowhead = none ];
1796 -> 809;

1797 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
805 -> 1797 [arrowhead = none ];
1797 -> 807;

1798 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
808 -> 1798 [arrowhead = none ];
1798 -> 810;

1799 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
815 -> 1799 [arrowhead = none ];
1799 -> 819;

1800 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
819 -> 1800 [arrowhead = none ];
1800 -> 846;

1801 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
819 -> 1801 [arrowhead = none ];
1801 -> 847;

1802 [label="ONLY EVAL with clause\ne(X587, X588) :- t(X587, X588).\nand substitutionT392 -> T400,\nX587 -> T400,\nX565 -> X589,\nX588 -> .(rbrace, .(plus, X589))", fontsize=14, style = filled, fillcolor = lightblue];
846 -> 1802 [arrowhead = none ];
1802 -> 852;

1803 [label="ONLY EVAL with clause\ne(X1218, X1219) :- ','(t(X1218, .(plus, X1220)), e(X1220, X1219)).\nand substitutionT392 -> T770,\nX1218 -> T770,\nX565 -> X1221,\nX1219 -> .(rbrace, .(plus, X1221))", fontsize=14, style = filled, fillcolor = lightblue];
847 -> 1803 [arrowhead = none ];
1803 -> 1415;

1804 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
852 -> 1804 [arrowhead = none ];
1804 -> 855;

1805 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
855 -> 1805 [arrowhead = none ];
1805 -> 873;

1806 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
855 -> 1806 [arrowhead = none ];
1806 -> 875;

1807 [label="ONLY EVAL with clause\nt(X609, X610) :- n(X609, X610).\nand substitutionT400 -> T412,\nX609 -> T412,\nX589 -> X611,\nX610 -> .(rbrace, .(plus, X611))", fontsize=14, style = filled, fillcolor = lightblue];
873 -> 1807 [arrowhead = none ];
1807 -> 903;

1808 [label="ONLY EVAL with clause\nt(X1197, X1198) :- ','(n(X1197, .(star, X1199)), t(X1199, X1198)).\nand substitutionT400 -> T758,\nX1197 -> T758,\nX589 -> X1200,\nX1198 -> .(rbrace, .(plus, X1200))", fontsize=14, style = filled, fillcolor = lightblue];
875 -> 1808 [arrowhead = none ];
1808 -> 1408;

1809 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
903 -> 1809 [arrowhead = none ];
1809 -> 908;

1810 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
908 -> 1810 [arrowhead = none ];
1810 -> 910;

1811 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
908 -> 1811 [arrowhead = none ];
1811 -> 911;

1812 [label="EVAL with clause\nn(.(X622, X623), X623) :- z(X622).\nand substitutionX622 -> T428,\nX623 -> .(rbrace, .(plus, T430)),\nT412 -> .(T428, .(rbrace, .(plus, T430))),\nX611 -> T430,\nT429 -> .(rbrace, .(plus, T430))", fontsize=14, style = filled, fillcolor = lightblue];
910 -> 1812 [arrowhead = none ];
1812 -> 921;

1813 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
910 -> 1813 [arrowhead = none ];
1813 -> 922;

1814 [label="EVAL with clause\nn(.(lbrace, X630), X631) :- e(X630, .(rbrace, X631)).\nand substitutionX630 -> T433,\nT412 -> .(lbrace, T433),\nX611 -> X632,\nX631 -> .(rbrace, .(plus, X632))", fontsize=14, style = filled, fillcolor = lightblue];
911 -> 1814 [arrowhead = none ];
1814 -> 940;

1815 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
911 -> 1815 [arrowhead = none ];
1815 -> 941;

1816 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
921 -> 1816 [arrowhead = none ];
1816 -> 925;

1817 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
925 -> 1817 [arrowhead = none ];
1817 -> 926;

1818 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
925 -> 1818 [arrowhead = none ];
1818 -> 927;

1819 [label="EVAL with clause\nz(a).\nand substitutionT428 -> a", fontsize=14, style = filled, fillcolor = lightblue];
926 -> 1819 [arrowhead = none ];
1819 -> 928;

1820 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
926 -> 1820 [arrowhead = none ];
1820 -> 929;

1821 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
927 -> 1821 [arrowhead = none ];
1821 -> 931;

1822 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
927 -> 1822 [arrowhead = none ];
1822 -> 932;

1823 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
928 -> 1823 [arrowhead = none ];
1823 -> 930;

1824 [label="EVAL with clause\nz(b).\nand substitutionT428 -> b", fontsize=14, style = filled, fillcolor = lightblue];
931 -> 1824 [arrowhead = none ];
1824 -> 933;

1825 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
931 -> 1825 [arrowhead = none ];
1825 -> 934;

1826 [label="EVAL with clause\nz(c).\nand substitutionT428 -> c", fontsize=14, style = filled, fillcolor = lightblue];
932 -> 1826 [arrowhead = none ];
1826 -> 936;

1827 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
932 -> 1827 [arrowhead = none ];
1827 -> 937;

1828 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
933 -> 1828 [arrowhead = none ];
1828 -> 935;

1829 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
936 -> 1829 [arrowhead = none ];
1829 -> 938;

1830 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
940 -> 1830 [arrowhead = none ];
1830 -> 945;

1831 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
945 -> 1831 [arrowhead = none ];
1831 -> 986;

1832 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
945 -> 1832 [arrowhead = none ];
1832 -> 987;

1833 [label="ONLY EVAL with clause\ne(X654, X655) :- t(X654, X655).\nand substitutionT433 -> T441,\nX654 -> T441,\nX632 -> X656,\nX655 -> .(rbrace, .(rbrace, .(plus, X656)))", fontsize=14, style = filled, fillcolor = lightblue];
986 -> 1833 [arrowhead = none ];
1833 -> 991;

1834 [label="ONLY EVAL with clause\ne(X1175, X1176) :- ','(t(X1175, .(plus, X1177)), e(X1177, X1176)).\nand substitutionT433 -> T748,\nX1175 -> T748,\nX632 -> X1178,\nX1176 -> .(rbrace, .(rbrace, .(plus, X1178)))", fontsize=14, style = filled, fillcolor = lightblue];
987 -> 1834 [arrowhead = none ];
1834 -> 1402;

1835 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
991 -> 1835 [arrowhead = none ];
1835 -> 995;

1836 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
995 -> 1836 [arrowhead = none ];
1836 -> 1004;

1837 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
995 -> 1837 [arrowhead = none ];
1837 -> 1005;

1838 [label="ONLY EVAL with clause\nt(X676, X677) :- n(X676, X677).\nand substitutionT441 -> T453,\nX676 -> T453,\nX656 -> X678,\nX677 -> .(rbrace, .(rbrace, .(plus, X678)))", fontsize=14, style = filled, fillcolor = lightblue];
1004 -> 1838 [arrowhead = none ];
1838 -> 1009;

1839 [label="ONLY EVAL with clause\nt(X1154, X1155) :- ','(n(X1154, .(star, X1156)), t(X1156, X1155)).\nand substitutionT441 -> T736,\nX1154 -> T736,\nX656 -> X1157,\nX1155 -> .(rbrace, .(rbrace, .(plus, X1157)))", fontsize=14, style = filled, fillcolor = lightblue];
1005 -> 1839 [arrowhead = none ];
1839 -> 1393;

1840 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1009 -> 1840 [arrowhead = none ];
1840 -> 1014;

1841 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1014 -> 1841 [arrowhead = none ];
1841 -> 1023;

1842 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1014 -> 1842 [arrowhead = none ];
1842 -> 1024;

1843 [label="EVAL with clause\nn(.(X689, X690), X690) :- z(X689).\nand substitutionX689 -> T469,\nX690 -> .(rbrace, .(rbrace, .(plus, T471))),\nT453 -> .(T469, .(rbrace, .(rbrace, .(plus, T471)))),\nX678 -> T471,\nT470 -> .(rbrace, .(rbrace, .(plus, T471)))", fontsize=14, style = filled, fillcolor = lightblue];
1023 -> 1843 [arrowhead = none ];
1843 -> 1049;

1844 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1023 -> 1844 [arrowhead = none ];
1844 -> 1050;

1845 [label="EVAL with clause\nn(.(lbrace, X697), X698) :- e(X697, .(rbrace, X698)).\nand substitutionX697 -> T474,\nT453 -> .(lbrace, T474),\nX678 -> X699,\nX698 -> .(rbrace, .(rbrace, .(plus, X699)))", fontsize=14, style = filled, fillcolor = lightblue];
1024 -> 1845 [arrowhead = none ];
1845 -> 1069;

1846 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1024 -> 1846 [arrowhead = none ];
1846 -> 1070;

1847 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1049 -> 1847 [arrowhead = none ];
1847 -> 1051;

1848 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1051 -> 1848 [arrowhead = none ];
1848 -> 1052;

1849 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1051 -> 1849 [arrowhead = none ];
1849 -> 1053;

1850 [label="EVAL with clause\nz(a).\nand substitutionT469 -> a", fontsize=14, style = filled, fillcolor = lightblue];
1052 -> 1850 [arrowhead = none ];
1850 -> 1054;

1851 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1052 -> 1851 [arrowhead = none ];
1851 -> 1055;

1852 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1053 -> 1852 [arrowhead = none ];
1852 -> 1057;

1853 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1053 -> 1853 [arrowhead = none ];
1853 -> 1058;

1854 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1054 -> 1854 [arrowhead = none ];
1854 -> 1056;

1855 [label="EVAL with clause\nz(b).\nand substitutionT469 -> b", fontsize=14, style = filled, fillcolor = lightblue];
1057 -> 1855 [arrowhead = none ];
1855 -> 1059;

1856 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1057 -> 1856 [arrowhead = none ];
1856 -> 1060;

1857 [label="EVAL with clause\nz(c).\nand substitutionT469 -> c", fontsize=14, style = filled, fillcolor = lightblue];
1058 -> 1857 [arrowhead = none ];
1857 -> 1062;

1858 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1058 -> 1858 [arrowhead = none ];
1858 -> 1063;

1859 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1059 -> 1859 [arrowhead = none ];
1859 -> 1061;

1860 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1062 -> 1860 [arrowhead = none ];
1860 -> 1065;

1861 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1069 -> 1861 [arrowhead = none ];
1861 -> 1073;

1862 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1073 -> 1862 [arrowhead = none ];
1862 -> 1078;

1863 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1073 -> 1863 [arrowhead = none ];
1863 -> 1079;

1864 [label="ONLY EVAL with clause\ne(X721, X722) :- t(X721, X722).\nand substitutionT474 -> T482,\nX721 -> T482,\nX699 -> X723,\nX722 -> .(rbrace, .(rbrace, .(rbrace, .(plus, X723))))", fontsize=14, style = filled, fillcolor = lightblue];
1078 -> 1864 [arrowhead = none ];
1864 -> 1082;

1865 [label="ONLY EVAL with clause\ne(X1132, X1133) :- ','(t(X1132, .(plus, X1134)), e(X1134, X1133)).\nand substitutionT474 -> T726,\nX1132 -> T726,\nX699 -> X1135,\nX1133 -> .(rbrace, .(rbrace, .(rbrace, .(plus, X1135))))", fontsize=14, style = filled, fillcolor = lightblue];
1079 -> 1865 [arrowhead = none ];
1865 -> 1390;

1866 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1082 -> 1866 [arrowhead = none ];
1866 -> 1084;

1867 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1084 -> 1867 [arrowhead = none ];
1867 -> 1087;

1868 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1084 -> 1868 [arrowhead = none ];
1868 -> 1089;

1869 [label="ONLY EVAL with clause\nt(X743, X744) :- n(X743, X744).\nand substitutionT482 -> T494,\nX743 -> T494,\nX723 -> X745,\nX744 -> .(rbrace, .(rbrace, .(rbrace, .(plus, X745))))", fontsize=14, style = filled, fillcolor = lightblue];
1087 -> 1869 [arrowhead = none ];
1869 -> 1092;

1870 [label="ONLY EVAL with clause\nt(X1111, X1112) :- ','(n(X1111, .(star, X1113)), t(X1113, X1112)).\nand substitutionT482 -> T714,\nX1111 -> T714,\nX723 -> X1114,\nX1112 -> .(rbrace, .(rbrace, .(rbrace, .(plus, X1114))))", fontsize=14, style = filled, fillcolor = lightblue];
1089 -> 1870 [arrowhead = none ];
1870 -> 1384;

1871 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1092 -> 1871 [arrowhead = none ];
1871 -> 1095;

1872 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1095 -> 1872 [arrowhead = none ];
1872 -> 1097;

1873 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1095 -> 1873 [arrowhead = none ];
1873 -> 1098;

1874 [label="EVAL with clause\nn(.(X756, X757), X757) :- z(X756).\nand substitutionX756 -> T510,\nX757 -> .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))),\nT494 -> .(T510, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))),\nX745 -> T512,\nT511 -> .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))", fontsize=14, style = filled, fillcolor = lightblue];
1097 -> 1874 [arrowhead = none ];
1874 -> 1104;

1875 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1097 -> 1875 [arrowhead = none ];
1875 -> 1105;

1876 [label="EVAL with clause\nn(.(lbrace, X764), X765) :- e(X764, .(rbrace, X765)).\nand substitutionX764 -> T515,\nT494 -> .(lbrace, T515),\nX745 -> X766,\nX765 -> .(rbrace, .(rbrace, .(rbrace, .(plus, X766))))", fontsize=14, style = filled, fillcolor = lightblue];
1098 -> 1876 [arrowhead = none ];
1876 -> 1139;

1877 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1098 -> 1877 [arrowhead = none ];
1877 -> 1140;

1878 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1104 -> 1878 [arrowhead = none ];
1878 -> 1106;

1879 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1106 -> 1879 [arrowhead = none ];
1879 -> 1107;

1880 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1106 -> 1880 [arrowhead = none ];
1880 -> 1108;

1881 [label="EVAL with clause\nz(a).\nand substitutionT510 -> a", fontsize=14, style = filled, fillcolor = lightblue];
1107 -> 1881 [arrowhead = none ];
1881 -> 1109;

1882 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1107 -> 1882 [arrowhead = none ];
1882 -> 1110;

1883 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1108 -> 1883 [arrowhead = none ];
1883 -> 1112;

1884 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1108 -> 1884 [arrowhead = none ];
1884 -> 1113;

1885 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1109 -> 1885 [arrowhead = none ];
1885 -> 1111;

1886 [label="EVAL with clause\nz(b).\nand substitutionT510 -> b", fontsize=14, style = filled, fillcolor = lightblue];
1112 -> 1886 [arrowhead = none ];
1886 -> 1114;

1887 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1112 -> 1887 [arrowhead = none ];
1887 -> 1115;

1888 [label="EVAL with clause\nz(c).\nand substitutionT510 -> c", fontsize=14, style = filled, fillcolor = lightblue];
1113 -> 1888 [arrowhead = none ];
1888 -> 1117;

1889 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1113 -> 1889 [arrowhead = none ];
1889 -> 1118;

1890 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1114 -> 1890 [arrowhead = none ];
1890 -> 1116;

1891 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1117 -> 1891 [arrowhead = none ];
1891 -> 1119;

1892 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1139 -> 1892 [arrowhead = none ];
1892 -> 1156;

1893 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1156 -> 1893 [arrowhead = none ];
1893 -> 1160;

1894 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1156 -> 1894 [arrowhead = none ];
1894 -> 1161;

1895 [label="ONLY EVAL with clause\ne(X788, X789) :- t(X788, X789).\nand substitutionT515 -> T523,\nX788 -> T523,\nX766 -> X790,\nX789 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X790)))))", fontsize=14, style = filled, fillcolor = lightblue];
1160 -> 1895 [arrowhead = none ];
1895 -> 1165;

1896 [label="ONLY EVAL with clause\ne(X1089, X1090) :- ','(t(X1089, .(plus, X1091)), e(X1091, X1090)).\nand substitutionT515 -> T704,\nX1089 -> T704,\nX766 -> X1092,\nX1090 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1092)))))", fontsize=14, style = filled, fillcolor = lightblue];
1161 -> 1896 [arrowhead = none ];
1896 -> 1375;

1897 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1165 -> 1897 [arrowhead = none ];
1897 -> 1166;

1898 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1166 -> 1898 [arrowhead = none ];
1898 -> 1170;

1899 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1166 -> 1899 [arrowhead = none ];
1899 -> 1171;

1900 [label="ONLY EVAL with clause\nt(X810, X811) :- n(X810, X811).\nand substitutionT523 -> T535,\nX810 -> T535,\nX790 -> X812,\nX811 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X812)))))", fontsize=14, style = filled, fillcolor = lightblue];
1170 -> 1900 [arrowhead = none ];
1900 -> 1176;

1901 [label="ONLY EVAL with clause\nt(X1068, X1069) :- ','(n(X1068, .(star, X1070)), t(X1070, X1069)).\nand substitutionT523 -> T692,\nX1068 -> T692,\nX790 -> X1071,\nX1069 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1071)))))", fontsize=14, style = filled, fillcolor = lightblue];
1171 -> 1901 [arrowhead = none ];
1901 -> 1369;

1902 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1176 -> 1902 [arrowhead = none ];
1902 -> 1177;

1903 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1177 -> 1903 [arrowhead = none ];
1903 -> 1179;

1904 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1177 -> 1904 [arrowhead = none ];
1904 -> 1180;

1905 [label="EVAL with clause\nn(.(X823, X824), X824) :- z(X823).\nand substitutionX823 -> T551,\nX824 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))),\nT535 -> .(T551, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))),\nX812 -> T553,\nT552 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))", fontsize=14, style = filled, fillcolor = lightblue];
1179 -> 1905 [arrowhead = none ];
1905 -> 1182;

1906 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1179 -> 1906 [arrowhead = none ];
1906 -> 1183;

1907 [label="EVAL with clause\nn(.(lbrace, X831), X832) :- e(X831, .(rbrace, X832)).\nand substitutionX831 -> T556,\nT535 -> .(lbrace, T556),\nX812 -> X833,\nX832 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X833)))))", fontsize=14, style = filled, fillcolor = lightblue];
1180 -> 1907 [arrowhead = none ];
1907 -> 1203;

1908 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1180 -> 1908 [arrowhead = none ];
1908 -> 1204;

1909 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1182 -> 1909 [arrowhead = none ];
1909 -> 1184;

1910 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1184 -> 1910 [arrowhead = none ];
1910 -> 1186;

1911 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1184 -> 1911 [arrowhead = none ];
1911 -> 1187;

1912 [label="EVAL with clause\nz(a).\nand substitutionT551 -> a", fontsize=14, style = filled, fillcolor = lightblue];
1186 -> 1912 [arrowhead = none ];
1912 -> 1188;

1913 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1186 -> 1913 [arrowhead = none ];
1913 -> 1189;

1914 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1187 -> 1914 [arrowhead = none ];
1914 -> 1191;

1915 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1187 -> 1915 [arrowhead = none ];
1915 -> 1192;

1916 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1188 -> 1916 [arrowhead = none ];
1916 -> 1190;

1917 [label="EVAL with clause\nz(b).\nand substitutionT551 -> b", fontsize=14, style = filled, fillcolor = lightblue];
1191 -> 1917 [arrowhead = none ];
1917 -> 1193;

1918 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1191 -> 1918 [arrowhead = none ];
1918 -> 1194;

1919 [label="EVAL with clause\nz(c).\nand substitutionT551 -> c", fontsize=14, style = filled, fillcolor = lightblue];
1192 -> 1919 [arrowhead = none ];
1919 -> 1196;

1920 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1192 -> 1920 [arrowhead = none ];
1920 -> 1198;

1921 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1193 -> 1921 [arrowhead = none ];
1921 -> 1195;

1922 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1196 -> 1922 [arrowhead = none ];
1922 -> 1200;

1923 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1203 -> 1923 [arrowhead = none ];
1923 -> 1221;

1924 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1221 -> 1924 [arrowhead = none ];
1924 -> 1224;

1925 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1221 -> 1925 [arrowhead = none ];
1925 -> 1225;

1926 [label="ONLY EVAL with clause\ne(X855, X856) :- t(X855, X856).\nand substitutionT556 -> T564,\nX855 -> T564,\nX833 -> X857,\nX856 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X857))))))", fontsize=14, style = filled, fillcolor = lightblue];
1224 -> 1926 [arrowhead = none ];
1926 -> 1228;

1927 [label="ONLY EVAL with clause\ne(X1046, X1047) :- ','(t(X1046, .(plus, X1048)), e(X1048, X1047)).\nand substitutionT556 -> T682,\nX1046 -> T682,\nX833 -> X1049,\nX1047 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1049))))))", fontsize=14, style = filled, fillcolor = lightblue];
1225 -> 1927 [arrowhead = none ];
1927 -> 1360;

1928 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1228 -> 1928 [arrowhead = none ];
1928 -> 1231;

1929 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1231 -> 1929 [arrowhead = none ];
1929 -> 1235;

1930 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1231 -> 1930 [arrowhead = none ];
1930 -> 1236;

1931 [label="ONLY EVAL with clause\nt(X877, X878) :- n(X877, X878).\nand substitutionT564 -> T576,\nX877 -> T576,\nX857 -> X879,\nX878 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X879))))))", fontsize=14, style = filled, fillcolor = lightblue];
1235 -> 1931 [arrowhead = none ];
1931 -> 1238;

1932 [label="ONLY EVAL with clause\nt(X1025, X1026) :- ','(n(X1025, .(star, X1027)), t(X1027, X1026)).\nand substitutionT564 -> T670,\nX1025 -> T670,\nX857 -> X1028,\nX1026 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1028))))))", fontsize=14, style = filled, fillcolor = lightblue];
1236 -> 1932 [arrowhead = none ];
1932 -> 1351;

1933 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1238 -> 1933 [arrowhead = none ];
1933 -> 1240;

1934 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1240 -> 1934 [arrowhead = none ];
1934 -> 1249;

1935 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1240 -> 1935 [arrowhead = none ];
1935 -> 1250;

1936 [label="EVAL with clause\nn(.(X890, X891), X891) :- z(X890).\nand substitutionX890 -> T592,\nX891 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))),\nT576 -> .(T592, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))),\nX879 -> T594,\nT593 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))", fontsize=14, style = filled, fillcolor = lightblue];
1249 -> 1936 [arrowhead = none ];
1936 -> 1251;

1937 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1249 -> 1937 [arrowhead = none ];
1937 -> 1252;

1938 [label="EVAL with clause\nn(.(lbrace, X898), X899) :- e(X898, .(rbrace, X899)).\nand substitutionX898 -> T597,\nT576 -> .(lbrace, T597),\nX879 -> X900,\nX899 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X900))))))", fontsize=14, style = filled, fillcolor = lightblue];
1250 -> 1938 [arrowhead = none ];
1938 -> 1271;

1939 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1250 -> 1939 [arrowhead = none ];
1939 -> 1272;

1940 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1251 -> 1940 [arrowhead = none ];
1940 -> 1253;

1941 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1253 -> 1941 [arrowhead = none ];
1941 -> 1254;

1942 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1253 -> 1942 [arrowhead = none ];
1942 -> 1255;

1943 [label="EVAL with clause\nz(a).\nand substitutionT592 -> a", fontsize=14, style = filled, fillcolor = lightblue];
1254 -> 1943 [arrowhead = none ];
1943 -> 1256;

1944 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1254 -> 1944 [arrowhead = none ];
1944 -> 1257;

1945 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1255 -> 1945 [arrowhead = none ];
1945 -> 1259;

1946 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1255 -> 1946 [arrowhead = none ];
1946 -> 1260;

1947 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1256 -> 1947 [arrowhead = none ];
1947 -> 1258;

1948 [label="EVAL with clause\nz(b).\nand substitutionT592 -> b", fontsize=14, style = filled, fillcolor = lightblue];
1259 -> 1948 [arrowhead = none ];
1948 -> 1261;

1949 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1259 -> 1949 [arrowhead = none ];
1949 -> 1262;

1950 [label="EVAL with clause\nz(c).\nand substitutionT592 -> c", fontsize=14, style = filled, fillcolor = lightblue];
1260 -> 1950 [arrowhead = none ];
1950 -> 1264;

1951 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1260 -> 1951 [arrowhead = none ];
1951 -> 1265;

1952 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1261 -> 1952 [arrowhead = none ];
1952 -> 1263;

1953 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1264 -> 1953 [arrowhead = none ];
1953 -> 1266;

1954 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1271 -> 1954 [arrowhead = none ];
1954 -> 1274;

1955 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1274 -> 1955 [arrowhead = none ];
1955 -> 1276;

1956 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1274 -> 1956 [arrowhead = none ];
1956 -> 1277;

1957 [label="ONLY EVAL with clause\ne(X922, X923) :- t(X922, X923).\nand substitutionT597 -> T605,\nX922 -> T605,\nX900 -> X924,\nX923 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X924)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1276 -> 1957 [arrowhead = none ];
1957 -> 1295;

1958 [label="ONLY EVAL with clause\ne(X1003, X1004) :- ','(t(X1003, .(plus, X1005)), e(X1005, X1004)).\nand substitutionT597 -> T660,\nX1003 -> T660,\nX900 -> X1006,\nX1004 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X1006)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1277 -> 1958 [arrowhead = none ];
1958 -> 1342;

1959 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1295 -> 1959 [arrowhead = none ];
1959 -> 1298;

1960 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1298 -> 1960 [arrowhead = none ];
1960 -> 1301;

1961 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1298 -> 1961 [arrowhead = none ];
1961 -> 1302;

1962 [label="ONLY EVAL with clause\nt(X944, X945) :- n(X944, X945).\nand substitutionT605 -> T617,\nX944 -> T617,\nX924 -> X946,\nX945 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X946)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1301 -> 1962 [arrowhead = none ];
1962 -> 1305;

1963 [label="ONLY EVAL with clause\nt(X982, X983) :- ','(n(X982, .(star, X984)), t(X984, X983)).\nand substitutionT605 -> T648,\nX982 -> T648,\nX924 -> X985,\nX983 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X985)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1302 -> 1963 [arrowhead = none ];
1963 -> 1336;

1964 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1305 -> 1964 [arrowhead = none ];
1964 -> 1306;

1965 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1306 -> 1965 [arrowhead = none ];
1965 -> 1309;

1966 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1306 -> 1966 [arrowhead = none ];
1966 -> 1310;

1967 [label="EVAL with clause\nn(.(X957, X958), X958) :- z(X957).\nand substitutionX957 -> T633,\nX958 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))),\nT617 -> .(T633, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))),\nX946 -> T635,\nT634 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1309 -> 1967 [arrowhead = none ];
1967 -> 1311;

1968 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1309 -> 1968 [arrowhead = none ];
1968 -> 1312;

1969 [label="EVAL with clause\nn(.(lbrace, X965), X966) :- e(X965, .(rbrace, X966)).\nand substitutionX965 -> T638,\nT617 -> .(lbrace, T638),\nX946 -> X967,\nX966 -> .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))", fontsize=14, style = filled, fillcolor = lightblue];
1310 -> 1969 [arrowhead = none ];
1969 -> 1328;

1970 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1310 -> 1970 [arrowhead = none ];
1970 -> 1329;

1971 [label="CASE", fontsize=14, style = filled, fillcolor = lightcyan];
1311 -> 1971 [arrowhead = none ];
1971 -> 1313;

1972 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1313 -> 1972 [arrowhead = none ];
1972 -> 1314;

1973 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1313 -> 1973 [arrowhead = none ];
1973 -> 1315;

1974 [label="EVAL with clause\nz(a).\nand substitutionT633 -> a", fontsize=14, style = filled, fillcolor = lightblue];
1314 -> 1974 [arrowhead = none ];
1974 -> 1316;

1975 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1314 -> 1975 [arrowhead = none ];
1975 -> 1317;

1976 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1315 -> 1976 [arrowhead = none ];
1976 -> 1319;

1977 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1315 -> 1977 [arrowhead = none ];
1977 -> 1320;

1978 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1316 -> 1978 [arrowhead = none ];
1978 -> 1318;

1979 [label="EVAL with clause\nz(b).\nand substitutionT633 -> b", fontsize=14, style = filled, fillcolor = lightblue];
1319 -> 1979 [arrowhead = none ];
1979 -> 1321;

1980 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1319 -> 1980 [arrowhead = none ];
1980 -> 1322;

1981 [label="EVAL with clause\nz(c).\nand substitutionT633 -> c", fontsize=14, style = filled, fillcolor = lightblue];
1320 -> 1981 [arrowhead = none ];
1981 -> 1324;

1982 [label="EVAL-BACKTRACK", fontsize=14, style = filled, fillcolor = lightgreen];
1320 -> 1982 [arrowhead = none ];
1982 -> 1325;

1983 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1321 -> 1983 [arrowhead = none ];
1983 -> 1323;

1984 [label="SUCCESS", fontsize=14, style = filled, fillcolor = lightgreen];
1324 -> 1984 [arrowhead = none ];
1984 -> 1326;

1985 [label="GENERALIZATION\nT640 <-- .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))", fontsize=14, style = filled, fillcolor = violet];
1328 -> 1985 [arrowhead = none ];
1985 -> 1332;

1986 [label="INSTANCE with matching:\nT1 -> T638\nT2 -> .(rbrace, T640)", fontsize=14, style = filled, fillcolor = lightgrey];
1332 -> 1986 [arrowhead = none , style=dashed];
1986 -> 2[style=dashed];

1987 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1336 -> 1987 [arrowhead = none ];
1987 -> 1338;

1988 [label="SPLIT 2\nnew knowledge:\nT648 is ground\nT652 is ground\nreplacements:X984 -> T652", fontsize=14, style = filled, fillcolor = violet];
1336 -> 1988 [arrowhead = none ];
1988 -> 1339;

1989 [label="INSTANCE with matching:\nT62 -> T648\nX55 -> X984", fontsize=14, style = filled, fillcolor = lightgrey];
1338 -> 1989 [arrowhead = none , style=dashed];
1989 -> 117[style=dashed];

1990 [label="INSTANCE with matching:\nT605 -> T652\nX924 -> X985", fontsize=14, style = filled, fillcolor = lightgrey];
1339 -> 1990 [arrowhead = none , style=dashed];
1990 -> 1295[style=dashed];

1991 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1342 -> 1991 [arrowhead = none ];
1991 -> 1343;

1992 [label="SPLIT 2\nnew knowledge:\nT660 is ground\nT662 is ground\nreplacements:X1005 -> T662", fontsize=14, style = filled, fillcolor = violet];
1342 -> 1992 [arrowhead = none ];
1992 -> 1344;

1993 [label="INSTANCE with matching:\nT357 -> T660\nX518 -> X1005", fontsize=14, style = filled, fillcolor = lightgrey];
1343 -> 1993 [arrowhead = none , style=dashed];
1993 -> 762[style=dashed];

1994 [label="INSTANCE with matching:\nT597 -> T662\nX900 -> X1006", fontsize=14, style = filled, fillcolor = lightgrey];
1344 -> 1994 [arrowhead = none , style=dashed];
1994 -> 1271[style=dashed];

1995 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1351 -> 1995 [arrowhead = none ];
1995 -> 1354;

1996 [label="SPLIT 2\nnew knowledge:\nT670 is ground\nT674 is ground\nreplacements:X1027 -> T674", fontsize=14, style = filled, fillcolor = violet];
1351 -> 1996 [arrowhead = none ];
1996 -> 1355;

1997 [label="INSTANCE with matching:\nT62 -> T670\nX55 -> X1027", fontsize=14, style = filled, fillcolor = lightgrey];
1354 -> 1997 [arrowhead = none , style=dashed];
1997 -> 117[style=dashed];

1998 [label="INSTANCE with matching:\nT564 -> T674\nX857 -> X1028", fontsize=14, style = filled, fillcolor = lightgrey];
1355 -> 1998 [arrowhead = none , style=dashed];
1998 -> 1228[style=dashed];

1999 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1360 -> 1999 [arrowhead = none ];
1999 -> 1362;

2000 [label="SPLIT 2\nnew knowledge:\nT682 is ground\nT684 is ground\nreplacements:X1048 -> T684", fontsize=14, style = filled, fillcolor = violet];
1360 -> 2000 [arrowhead = none ];
2000 -> 1363;

2001 [label="INSTANCE with matching:\nT357 -> T682\nX518 -> X1048", fontsize=14, style = filled, fillcolor = lightgrey];
1362 -> 2001 [arrowhead = none , style=dashed];
2001 -> 762[style=dashed];

2002 [label="INSTANCE with matching:\nT556 -> T684\nX833 -> X1049", fontsize=14, style = filled, fillcolor = lightgrey];
1363 -> 2002 [arrowhead = none , style=dashed];
2002 -> 1203[style=dashed];

2003 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1369 -> 2003 [arrowhead = none ];
2003 -> 1371;

2004 [label="SPLIT 2\nnew knowledge:\nT692 is ground\nT696 is ground\nreplacements:X1070 -> T696", fontsize=14, style = filled, fillcolor = violet];
1369 -> 2004 [arrowhead = none ];
2004 -> 1372;

2005 [label="INSTANCE with matching:\nT62 -> T692\nX55 -> X1070", fontsize=14, style = filled, fillcolor = lightgrey];
1371 -> 2005 [arrowhead = none , style=dashed];
2005 -> 117[style=dashed];

2006 [label="INSTANCE with matching:\nT523 -> T696\nX790 -> X1071", fontsize=14, style = filled, fillcolor = lightgrey];
1372 -> 2006 [arrowhead = none , style=dashed];
2006 -> 1165[style=dashed];

2007 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1375 -> 2007 [arrowhead = none ];
2007 -> 1377;

2008 [label="SPLIT 2\nnew knowledge:\nT704 is ground\nT706 is ground\nreplacements:X1091 -> T706", fontsize=14, style = filled, fillcolor = violet];
1375 -> 2008 [arrowhead = none ];
2008 -> 1378;

2009 [label="INSTANCE with matching:\nT357 -> T704\nX518 -> X1091", fontsize=14, style = filled, fillcolor = lightgrey];
1377 -> 2009 [arrowhead = none , style=dashed];
2009 -> 762[style=dashed];

2010 [label="INSTANCE with matching:\nT515 -> T706\nX766 -> X1092", fontsize=14, style = filled, fillcolor = lightgrey];
1378 -> 2010 [arrowhead = none , style=dashed];
2010 -> 1139[style=dashed];

2011 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1384 -> 2011 [arrowhead = none ];
2011 -> 1386;

2012 [label="SPLIT 2\nnew knowledge:\nT714 is ground\nT718 is ground\nreplacements:X1113 -> T718", fontsize=14, style = filled, fillcolor = violet];
1384 -> 2012 [arrowhead = none ];
2012 -> 1387;

2013 [label="INSTANCE with matching:\nT62 -> T714\nX55 -> X1113", fontsize=14, style = filled, fillcolor = lightgrey];
1386 -> 2013 [arrowhead = none , style=dashed];
2013 -> 117[style=dashed];

2014 [label="INSTANCE with matching:\nT482 -> T718\nX723 -> X1114", fontsize=14, style = filled, fillcolor = lightgrey];
1387 -> 2014 [arrowhead = none , style=dashed];
2014 -> 1082[style=dashed];

2015 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1390 -> 2015 [arrowhead = none ];
2015 -> 1391;

2016 [label="SPLIT 2\nnew knowledge:\nT726 is ground\nT728 is ground\nreplacements:X1134 -> T728", fontsize=14, style = filled, fillcolor = violet];
1390 -> 2016 [arrowhead = none ];
2016 -> 1392;

2017 [label="INSTANCE with matching:\nT357 -> T726\nX518 -> X1134", fontsize=14, style = filled, fillcolor = lightgrey];
1391 -> 2017 [arrowhead = none , style=dashed];
2017 -> 762[style=dashed];

2018 [label="INSTANCE with matching:\nT474 -> T728\nX699 -> X1135", fontsize=14, style = filled, fillcolor = lightgrey];
1392 -> 2018 [arrowhead = none , style=dashed];
2018 -> 1069[style=dashed];

2019 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1393 -> 2019 [arrowhead = none ];
2019 -> 1395;

2020 [label="SPLIT 2\nnew knowledge:\nT736 is ground\nT740 is ground\nreplacements:X1156 -> T740", fontsize=14, style = filled, fillcolor = violet];
1393 -> 2020 [arrowhead = none ];
2020 -> 1396;

2021 [label="INSTANCE with matching:\nT62 -> T736\nX55 -> X1156", fontsize=14, style = filled, fillcolor = lightgrey];
1395 -> 2021 [arrowhead = none , style=dashed];
2021 -> 117[style=dashed];

2022 [label="INSTANCE with matching:\nT441 -> T740\nX656 -> X1157", fontsize=14, style = filled, fillcolor = lightgrey];
1396 -> 2022 [arrowhead = none , style=dashed];
2022 -> 991[style=dashed];

2023 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1402 -> 2023 [arrowhead = none ];
2023 -> 1404;

2024 [label="SPLIT 2\nnew knowledge:\nT748 is ground\nT750 is ground\nreplacements:X1177 -> T750", fontsize=14, style = filled, fillcolor = violet];
1402 -> 2024 [arrowhead = none ];
2024 -> 1405;

2025 [label="INSTANCE with matching:\nT357 -> T748\nX518 -> X1177", fontsize=14, style = filled, fillcolor = lightgrey];
1404 -> 2025 [arrowhead = none , style=dashed];
2025 -> 762[style=dashed];

2026 [label="INSTANCE with matching:\nT433 -> T750\nX632 -> X1178", fontsize=14, style = filled, fillcolor = lightgrey];
1405 -> 2026 [arrowhead = none , style=dashed];
2026 -> 940[style=dashed];

2027 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1408 -> 2027 [arrowhead = none ];
2027 -> 1409;

2028 [label="SPLIT 2\nnew knowledge:\nT758 is ground\nT762 is ground\nreplacements:X1199 -> T762", fontsize=14, style = filled, fillcolor = violet];
1408 -> 2028 [arrowhead = none ];
2028 -> 1410;

2029 [label="INSTANCE with matching:\nT62 -> T758\nX55 -> X1199", fontsize=14, style = filled, fillcolor = lightgrey];
1409 -> 2029 [arrowhead = none , style=dashed];
2029 -> 117[style=dashed];

2030 [label="INSTANCE with matching:\nT400 -> T762\nX589 -> X1200", fontsize=14, style = filled, fillcolor = lightgrey];
1410 -> 2030 [arrowhead = none , style=dashed];
2030 -> 852[style=dashed];

2031 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1415 -> 2031 [arrowhead = none ];
2031 -> 1416;

2032 [label="SPLIT 2\nnew knowledge:\nT770 is ground\nT772 is ground\nreplacements:X1220 -> T772", fontsize=14, style = filled, fillcolor = violet];
1415 -> 2032 [arrowhead = none ];
2032 -> 1417;

2033 [label="INSTANCE with matching:\nT357 -> T770\nX518 -> X1220", fontsize=14, style = filled, fillcolor = lightgrey];
1416 -> 2033 [arrowhead = none , style=dashed];
2033 -> 762[style=dashed];

2034 [label="INSTANCE with matching:\nT392 -> T772\nX565 -> X1221", fontsize=14, style = filled, fillcolor = lightgrey];
1417 -> 2034 [arrowhead = none , style=dashed];
2034 -> 815[style=dashed];

2035 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1423 -> 2035 [arrowhead = none ];
2035 -> 1424;

2036 [label="SPLIT 2\nnew knowledge:\nT780 is ground\nT784 is ground\nreplacements:X1242 -> T784", fontsize=14, style = filled, fillcolor = violet];
1423 -> 2036 [arrowhead = none ];
2036 -> 1425;

2037 [label="INSTANCE with matching:\nT62 -> T780\nX55 -> X1242", fontsize=14, style = filled, fillcolor = lightgrey];
1424 -> 2037 [arrowhead = none , style=dashed];
2037 -> 117[style=dashed];

2038 [label="INSTANCE with matching:\nT357 -> T784\nX518 -> X1243", fontsize=14, style = filled, fillcolor = lightgrey];
1425 -> 2038 [arrowhead = none , style=dashed];
2038 -> 762[style=dashed];

2039 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1430 -> 2039 [arrowhead = none ];
2039 -> 1431;

2040 [label="SPLIT 2\nnew knowledge:\nT795 is ground\nT799 is ground\nreplacements:X1265 -> T799", fontsize=14, style = filled, fillcolor = violet];
1430 -> 2040 [arrowhead = none ];
2040 -> 1432;

2041 [label="INSTANCE with matching:\nT62 -> T795\nX55 -> X1265", fontsize=14, style = filled, fillcolor = lightgrey];
1431 -> 2041 [arrowhead = none , style=dashed];
2041 -> 117[style=dashed];

2042 [label="INSTANCE with matching:\nT261 -> T799\nX370 -> X1266", fontsize=14, style = filled, fillcolor = lightgrey];
1432 -> 2042 [arrowhead = none , style=dashed];
2042 -> 578[style=dashed];

2043 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1438 -> 2043 [arrowhead = none ];
2043 -> 1439;

2044 [label="SPLIT 2\nnew knowledge:\nT807 is ground\nT809 is ground\nreplacements:X1286 -> T809", fontsize=14, style = filled, fillcolor = violet];
1438 -> 2044 [arrowhead = none ];
2044 -> 1440;

2045 [label="INSTANCE with matching:\nT357 -> T807\nX518 -> X1286", fontsize=14, style = filled, fillcolor = lightgrey];
1439 -> 2045 [arrowhead = none , style=dashed];
2045 -> 762[style=dashed];

2046 [label="INSTANCE with matching:\nT253 -> T809\nX346 -> X1287", fontsize=14, style = filled, fillcolor = lightgrey];
1440 -> 2046 [arrowhead = none , style=dashed];
2046 -> 553[style=dashed];

2047 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1445 -> 2047 [arrowhead = none ];
2047 -> 1446;

2048 [label="SPLIT 2\nnew knowledge:\nT817 is ground\nT821 is ground\nreplacements:X1308 -> T821", fontsize=14, style = filled, fillcolor = violet];
1445 -> 2048 [arrowhead = none ];
2048 -> 1447;

2049 [label="INSTANCE with matching:\nT62 -> T817\nX55 -> X1308", fontsize=14, style = filled, fillcolor = lightgrey];
1446 -> 2049 [arrowhead = none , style=dashed];
2049 -> 117[style=dashed];

2050 [label="INSTANCE with matching:\nT220 -> T821\nX303 -> X1309", fontsize=14, style = filled, fillcolor = lightgrey];
1447 -> 2050 [arrowhead = none , style=dashed];
2050 -> 508[style=dashed];

2051 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1453 -> 2051 [arrowhead = none ];
2051 -> 1454;

2052 [label="SPLIT 2\nnew knowledge:\nT829 is ground\nT831 is ground\nreplacements:X1329 -> T831", fontsize=14, style = filled, fillcolor = violet];
1453 -> 2052 [arrowhead = none ];
2052 -> 1455;

2053 [label="INSTANCE with matching:\nT357 -> T829\nX518 -> X1329", fontsize=14, style = filled, fillcolor = lightgrey];
1454 -> 2053 [arrowhead = none , style=dashed];
2053 -> 762[style=dashed];

2054 [label="INSTANCE with matching:\nT212 -> T831\nX279 -> X1330", fontsize=14, style = filled, fillcolor = lightgrey];
1455 -> 2054 [arrowhead = none , style=dashed];
2054 -> 492[style=dashed];

2055 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1459 -> 2055 [arrowhead = none ];
2055 -> 1460;

2056 [label="SPLIT 2\nnew knowledge:\nT839 is ground\nT843 is ground\nreplacements:X1351 -> T843", fontsize=14, style = filled, fillcolor = violet];
1459 -> 2056 [arrowhead = none ];
2056 -> 1461;

2057 [label="INSTANCE with matching:\nT62 -> T839\nX55 -> X1351", fontsize=14, style = filled, fillcolor = lightgrey];
1460 -> 2057 [arrowhead = none , style=dashed];
2057 -> 117[style=dashed];

2058 [label="INSTANCE with matching:\nT179 -> T843\nX236 -> X1352", fontsize=14, style = filled, fillcolor = lightgrey];
1461 -> 2058 [arrowhead = none , style=dashed];
2058 -> 418[style=dashed];

2059 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1468 -> 2059 [arrowhead = none ];
2059 -> 1469;

2060 [label="SPLIT 2\nnew knowledge:\nT851 is ground\nT853 is ground\nreplacements:X1372 -> T853", fontsize=14, style = filled, fillcolor = violet];
1468 -> 2060 [arrowhead = none ];
2060 -> 1470;

2061 [label="INSTANCE with matching:\nT357 -> T851\nX518 -> X1372", fontsize=14, style = filled, fillcolor = lightgrey];
1469 -> 2061 [arrowhead = none , style=dashed];
2061 -> 762[style=dashed];

2062 [label="INSTANCE with matching:\nT171 -> T853\nX212 -> X1373", fontsize=14, style = filled, fillcolor = lightgrey];
1470 -> 2062 [arrowhead = none , style=dashed];
2062 -> 405[style=dashed];

2063 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1474 -> 2063 [arrowhead = none ];
2063 -> 1475;

2064 [label="SPLIT 2\nnew knowledge:\nT861 is ground\nT865 is ground\nreplacements:X1394 -> T865", fontsize=14, style = filled, fillcolor = violet];
1474 -> 2064 [arrowhead = none ];
2064 -> 1476;

2065 [label="INSTANCE with matching:\nT62 -> T861\nX55 -> X1394", fontsize=14, style = filled, fillcolor = lightgrey];
1475 -> 2065 [arrowhead = none , style=dashed];
2065 -> 117[style=dashed];

2066 [label="INSTANCE with matching:\nT138 -> T865\nX169 -> X1395", fontsize=14, style = filled, fillcolor = lightgrey];
1476 -> 2066 [arrowhead = none , style=dashed];
2066 -> 351[style=dashed];

2067 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1481 -> 2067 [arrowhead = none ];
2067 -> 1484;

2068 [label="SPLIT 2\nnew knowledge:\nT873 is ground\nT875 is ground\nreplacements:X1415 -> T875", fontsize=14, style = filled, fillcolor = violet];
1481 -> 2068 [arrowhead = none ];
2068 -> 1485;

2069 [label="INSTANCE with matching:\nT357 -> T873\nX518 -> X1415", fontsize=14, style = filled, fillcolor = lightgrey];
1484 -> 2069 [arrowhead = none , style=dashed];
2069 -> 762[style=dashed];

2070 [label="INSTANCE with matching:\nT130 -> T875\nX145 -> X1416", fontsize=14, style = filled, fillcolor = lightgrey];
1485 -> 2070 [arrowhead = none , style=dashed];
2070 -> 316[style=dashed];

2071 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1490 -> 2071 [arrowhead = none ];
2071 -> 1491;

2072 [label="SPLIT 2\nnew knowledge:\nT883 is ground\nT887 is ground\nreplacements:X1437 -> T887", fontsize=14, style = filled, fillcolor = violet];
1490 -> 2072 [arrowhead = none ];
2072 -> 1492;

2073 [label="INSTANCE with matching:\nT62 -> T883\nX55 -> X1437", fontsize=14, style = filled, fillcolor = lightgrey];
1491 -> 2073 [arrowhead = none , style=dashed];
2073 -> 117[style=dashed];

2074 [label="INSTANCE with matching:\nT97 -> T887\nX102 -> X1438", fontsize=14, style = filled, fillcolor = lightgrey];
1492 -> 2074 [arrowhead = none , style=dashed];
2074 -> 230[style=dashed];

2075 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1496 -> 2075 [arrowhead = none ];
2075 -> 1502;

2076 [label="SPLIT 2\nnew knowledge:\nT895 is ground\nT897 is ground\nreplacements:X1458 -> T897", fontsize=14, style = filled, fillcolor = violet];
1496 -> 2076 [arrowhead = none ];
2076 -> 1503;

2077 [label="INSTANCE with matching:\nT357 -> T895\nX518 -> X1458", fontsize=14, style = filled, fillcolor = lightgrey];
1502 -> 2077 [arrowhead = none , style=dashed];
2077 -> 762[style=dashed];

2078 [label="INSTANCE with matching:\nT89 -> T897\nX78 -> X1459", fontsize=14, style = filled, fillcolor = lightgrey];
1503 -> 2078 [arrowhead = none , style=dashed];
2078 -> 192[style=dashed];

2079 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1505 -> 2079 [arrowhead = none ];
2079 -> 1508;

2080 [label="PARALLEL", fontsize=14, style = filled, fillcolor = violet];
1505 -> 2080 [arrowhead = none ];
2080 -> 1509;

2081 [label="ONLY EVAL with clause\nt(X1483, X1484) :- n(X1483, X1484).\nand substitutionT68 -> T916,\nX1483 -> T916,\nT64 -> T918,\nX1484 -> T918,\nT917 -> T918", fontsize=14, style = filled, fillcolor = lightblue];
1508 -> 2081 [arrowhead = none ];
2081 -> 1510;

2082 [label="ONLY EVAL with clause\nt(X1494, X1495) :- ','(n(X1494, .(star, X1496)), t(X1496, X1495)).\nand substitutionT68 -> T929,\nX1494 -> T929,\nT64 -> T931,\nX1495 -> T931,\nT930 -> T931", fontsize=14, style = filled, fillcolor = lightblue];
1509 -> 2082 [arrowhead = none ];
2082 -> 1513;

2083 [label="INSTANCE with matching:\nT22 -> T916\nT24 -> T918", fontsize=14, style = filled, fillcolor = lightgrey];
1510 -> 2083 [arrowhead = none , style=dashed];
2083 -> 15[style=dashed];

2084 [label="INSTANCE with matching:\nT62 -> T929\nX55 -> X1496\nT64 -> T931", fontsize=14, style = filled, fillcolor = lightgrey];
1513 -> 2084 [arrowhead = none , style=dashed];
2084 -> 108[style=dashed];

2085 [label="ONLY EVAL with clause\ne(X1507, X1508) :- ','(t(X1507, .(plus, X1509)), e(X1509, X1508)).\nand substitutionT5 -> T941,\nX1507 -> T941,\nT2 -> T943,\nX1508 -> T943,\nT942 -> T943", fontsize=14, style = filled, fillcolor = lightblue];
1516 -> 2085 [arrowhead = none ];
2085 -> 1519;

2086 [label="SPLIT 1", fontsize=14, style = filled, fillcolor = violet];
1519 -> 2086 [arrowhead = none ];
2086 -> 1520;

2087 [label="SPLIT 2\nnew knowledge:\nT941 is ground\nT945 is ground\nreplacements:X1509 -> T945", fontsize=14, style = filled, fillcolor = violet];
1519 -> 2087 [arrowhead = none ];
2087 -> 1521;

2088 [label="INSTANCE with matching:\nT357 -> T941\nX518 -> X1509", fontsize=14, style = filled, fillcolor = lightgrey];
1520 -> 2088 [arrowhead = none , style=dashed];
2088 -> 762[style=dashed];

2089 [label="INSTANCE with matching:\nT1 -> T945\nT2 -> T943", fontsize=14, style = filled, fillcolor = lightgrey];
1521 -> 2089 [arrowhead = none , style=dashed];
2089 -> 2[style=dashed];

}

(2) Obligation:

Pi-finite rewrite system:
The TRS R consists of the following rules:

eA_in_ga(T22, T24) → U1_ga(T22, T24, nB_in_ga(T22, T24))
nB_in_ga(.(a, T36), T36) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36), T36) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36), T36) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41), T43) → U55_ga(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
eA_in_ga(T62, T64) → U2_ga(T62, T64, pC_in_gaa(T62, X55, T64))
pC_in_gaa(T62, T68, T64) → U58_gaa(T62, T68, T64, nE_in_ga(T62, T68))
nE_in_ga(.(a, .(star, T86)), T86) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86)), T86) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86)), T86) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89), X78) → U4_ga(T89, X78, eF_in_ga(T89, X78))
eF_in_ga(T97, X102) → U53_ga(T97, X102, tN27_in_ga(T97, X102))
tN27_in_ga(.(a, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130), X145) → U51_ga(T130, X145, eN25_in_ga(T130, X145))
eN25_in_ga(T138, X169) → U49_ga(T138, X169, tN23_in_ga(T138, X169))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171), X212) → U47_ga(T171, X212, eN21_in_ga(T171, X212))
eN21_in_ga(T179, X236) → U45_ga(T179, X236, tN19_in_ga(T179, X236))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212), X279) → U43_ga(T212, X279, eN17_in_ga(T212, X279))
eN17_in_ga(T220, X303) → U41_ga(T220, X303, tN15_in_ga(T220, X303))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253), X346) → U39_ga(T253, X346, eN13_in_ga(T253, X346))
eN13_in_ga(T261, X370) → U37_ga(T261, X370, tN11_in_ga(T261, X370))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294), X413) → U35_ga(T294, X413, eI_in_ga(T294, X413))
eI_in_ga(T302, X437) → U7_ga(T302, X437, tG_in_ga(T302, X437))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335), X480) → U5_ga(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
eA_in_ga(T941, T943) → U3_ga(T941, T943, pD_in_gaa(T941, X1509, T943))
pD_in_gaa(T941, T945, T943) → U110_gaa(T941, T945, T943, tM_in_ga(T941, T945))
tM_in_ga(.(a, .(plus, T389)), T389) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389)), T389) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389)), T389) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392), X565) → U11_ga(T392, X565, eN_in_ga(T392, X565))
eN_in_ga(T400, X589) → U33_ga(T400, X589, tN8_in_ga(T400, X589))
tN8_in_ga(.(a, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433), X632) → U31_ga(T433, X632, eN6_in_ga(T433, X632))
eN6_in_ga(T441, X656) → U29_ga(T441, X656, tN4_in_ga(T441, X656))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474), X699) → U27_ga(T474, X699, eN2_in_ga(T474, X699))
eN2_in_ga(T482, X723) → U25_ga(T482, X723, tZ_in_ga(T482, X723))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515), X766) → U23_ga(T515, X766, eX_in_ga(T515, X766))
eX_in_ga(T523, X790) → U21_ga(T523, X790, tV_in_ga(T523, X790))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556), X833) → U19_ga(T556, X833, eT_in_ga(T556, X833))
eT_in_ga(T564, X857) → U17_ga(T564, X857, tR_in_ga(T564, X857))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597), X900) → U15_ga(T597, X900, eP_in_ga(T597, X900))
eP_in_ga(T605, X924) → U13_ga(T605, X924, tK_in_ga(T605, X924))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638), X967) → U9_ga(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
U9_ga(T638, X967, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648, X985) → U10_ga(T648, X985, pL_in_gaa(T648, X984, X985))
pL_in_gaa(T648, T652, X985) → U64_gaa(T648, T652, X985, nE_in_ga(T648, T652))
U64_gaa(T648, T652, X985, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, X985, tK_in_ga(T652, X985))
U65_gaa(T648, T652, X985, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, X985, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, X924, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660, X1006) → U14_ga(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
pQ_in_gaa(T660, T662, X1006) → U66_gaa(T660, T662, X1006, tM_in_ga(T660, T662))
tM_in_ga(T780, X1243) → U12_ga(T780, X1243, pO_in_gaa(T780, X1242, X1243))
pO_in_gaa(T780, T784, X1243) → U88_gaa(T780, T784, X1243, nE_in_ga(T780, T784))
U88_gaa(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, X1243, tM_in_ga(T784, X1243))
U89_gaa(T780, T784, X1243, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, X1243, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, X1006, eP_in_ga(T662, X1006))
U67_gaa(T660, T662, X1006, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, X1006, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, X900, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670, X1028) → U16_ga(T670, X1028, pS_in_gaa(T670, X1027, X1028))
pS_in_gaa(T670, T674, X1028) → U68_gaa(T670, T674, X1028, nE_in_ga(T670, T674))
U68_gaa(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, X1028, tR_in_ga(T674, X1028))
U69_gaa(T670, T674, X1028, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, X1028, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, X857, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682, X1049) → U18_ga(T682, X1049, pU_in_gaa(T682, X1048, X1049))
pU_in_gaa(T682, T684, X1049) → U70_gaa(T682, T684, X1049, tM_in_ga(T682, T684))
U70_gaa(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, X1049, eT_in_ga(T684, X1049))
U71_gaa(T682, T684, X1049, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, X1049, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, X833, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692, X1071) → U20_ga(T692, X1071, pW_in_gaa(T692, X1070, X1071))
pW_in_gaa(T692, T696, X1071) → U72_gaa(T692, T696, X1071, nE_in_ga(T692, T696))
U72_gaa(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, X1071, tV_in_ga(T696, X1071))
U73_gaa(T692, T696, X1071, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, X1071, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, X790, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704, X1092) → U22_ga(T704, X1092, pY_in_gaa(T704, X1091, X1092))
pY_in_gaa(T704, T706, X1092) → U74_gaa(T704, T706, X1092, tM_in_ga(T704, T706))
U74_gaa(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, X1092, eX_in_ga(T706, X1092))
U75_gaa(T704, T706, X1092, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, X1092, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, X766, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714, X1114) → U24_ga(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
pN1_in_gaa(T714, T718, X1114) → U76_gaa(T714, T718, X1114, nE_in_ga(T714, T718))
U76_gaa(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, X1114, tZ_in_ga(T718, X1114))
U77_gaa(T714, T718, X1114, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, X1114, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, X723, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726, X1135) → U26_ga(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
pN3_in_gaa(T726, T728, X1135) → U78_gaa(T726, T728, X1135, tM_in_ga(T726, T728))
U78_gaa(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, X1135, eN2_in_ga(T728, X1135))
U79_gaa(T726, T728, X1135, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, X1135, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, X699, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736, X1157) → U28_ga(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
pN5_in_gaa(T736, T740, X1157) → U80_gaa(T736, T740, X1157, nE_in_ga(T736, T740))
U80_gaa(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, X1157, tN4_in_ga(T740, X1157))
U81_gaa(T736, T740, X1157, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, X1157, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, X656, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748, X1178) → U30_ga(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
pN7_in_gaa(T748, T750, X1178) → U82_gaa(T748, T750, X1178, tM_in_ga(T748, T750))
U82_gaa(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, X1178, eN6_in_ga(T750, X1178))
U83_gaa(T748, T750, X1178, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, X1178, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, X632, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758, X1200) → U32_ga(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
pN9_in_gaa(T758, T762, X1200) → U84_gaa(T758, T762, X1200, nE_in_ga(T758, T762))
U84_gaa(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, X1200, tN8_in_ga(T762, X1200))
U85_gaa(T758, T762, X1200, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, X1200, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, X589, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770, X1221) → U34_ga(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
pN10_in_gaa(T770, T772, X1221) → U86_gaa(T770, T772, X1221, tM_in_ga(T770, T772))
U86_gaa(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, X1221, eN_in_ga(T772, X1221))
U87_gaa(T770, T772, X1221, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, X1221, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, X565, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, T945, T943, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, T943, eA_in_ga(T945, T943))
U111_gaa(T941, T945, T943, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, T943, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, X480, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345, X498) → U6_ga(T345, X498, pH_in_gaa(T345, X497, X498))
pH_in_gaa(T345, T349, X498) → U60_gaa(T345, T349, X498, nE_in_ga(T345, T349))
U60_gaa(T345, T349, X498, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, X498, tG_in_ga(T349, X498))
U61_gaa(T345, T349, X498, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, X498, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, X437, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357, X519) → U8_ga(T357, X519, pJ_in_gaa(T357, X518, X519))
pJ_in_gaa(T357, T359, X519) → U62_gaa(T357, T359, X519, tM_in_ga(T357, T359))
U62_gaa(T357, T359, X519, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, X519, eI_in_ga(T359, X519))
U63_gaa(T357, T359, X519, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, X519, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, X413, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795, X1266) → U36_ga(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
pN12_in_gaa(T795, T799, X1266) → U90_gaa(T795, T799, X1266, nE_in_ga(T795, T799))
U90_gaa(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, X1266, tN11_in_ga(T799, X1266))
U91_gaa(T795, T799, X1266, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, X1266, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, X370, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807, X1287) → U38_ga(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
pN14_in_gaa(T807, T809, X1287) → U92_gaa(T807, T809, X1287, tM_in_ga(T807, T809))
U92_gaa(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, X1287, eN13_in_ga(T809, X1287))
U93_gaa(T807, T809, X1287, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, X1287, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, X346, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817, X1309) → U40_ga(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
pN16_in_gaa(T817, T821, X1309) → U94_gaa(T817, T821, X1309, nE_in_ga(T817, T821))
U94_gaa(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, X1309, tN15_in_ga(T821, X1309))
U95_gaa(T817, T821, X1309, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, X1309, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, X303, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829, X1330) → U42_ga(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
pN18_in_gaa(T829, T831, X1330) → U96_gaa(T829, T831, X1330, tM_in_ga(T829, T831))
U96_gaa(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, X1330, eN17_in_ga(T831, X1330))
U97_gaa(T829, T831, X1330, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, X1330, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, X279, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839, X1352) → U44_ga(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
pN20_in_gaa(T839, T843, X1352) → U98_gaa(T839, T843, X1352, nE_in_ga(T839, T843))
U98_gaa(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, X1352, tN19_in_ga(T843, X1352))
U99_gaa(T839, T843, X1352, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, X1352, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, X236, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851, X1373) → U46_ga(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
pN22_in_gaa(T851, T853, X1373) → U100_gaa(T851, T853, X1373, tM_in_ga(T851, T853))
U100_gaa(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, X1373, eN21_in_ga(T853, X1373))
U101_gaa(T851, T853, X1373, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, X1373, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, X212, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861, X1395) → U48_ga(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
pN24_in_gaa(T861, T865, X1395) → U102_gaa(T861, T865, X1395, nE_in_ga(T861, T865))
U102_gaa(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, X1395, tN23_in_ga(T865, X1395))
U103_gaa(T861, T865, X1395, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, X1395, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, X169, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873, X1416) → U50_ga(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
pN26_in_gaa(T873, T875, X1416) → U104_gaa(T873, T875, X1416, tM_in_ga(T873, T875))
U104_gaa(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, X1416, eN25_in_ga(T875, X1416))
U105_gaa(T873, T875, X1416, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, X1416, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, X145, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883, X1438) → U52_ga(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
pN28_in_gaa(T883, T887, X1438) → U106_gaa(T883, T887, X1438, nE_in_ga(T883, T887))
U106_gaa(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, X1438, tN27_in_ga(T887, X1438))
U107_gaa(T883, T887, X1438, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, X1438, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, X102, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895, X1459) → U54_ga(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
pN29_in_gaa(T895, T897, X1459) → U108_gaa(T895, T897, X1459, tM_in_ga(T895, T897))
U108_gaa(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, X1459, eF_in_ga(T897, X1459))
U109_gaa(T895, T897, X1459, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, X1459, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, X78, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, T68, T64, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, T64, tN30_in_ga(T68, T64))
tN30_in_ga(T916, T918) → U56_ga(T916, T918, nB_in_ga(T916, T918))
U56_ga(T916, T918, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929, T931) → U57_ga(T929, T931, pC_in_gaa(T929, X1496, T931))
U57_ga(T929, T931, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, T64, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, T64, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, T43, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, T24, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The argument filtering Pi contains the following mapping:
eA_in_ga(x1, x2)  =  eA_in_ga(x1)
U1_ga(x1, x2, x3)  =  U1_ga(x1, x3)
nB_in_ga(x1, x2)  =  nB_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
a  =  a
nB_out_ga(x1, x2)  =  nB_out_ga(x1, x2)
b  =  b
c  =  c
lbrace  =  lbrace
U55_ga(x1, x2, x3)  =  U55_ga(x1, x3)
U2_ga(x1, x2, x3)  =  U2_ga(x1, x3)
pC_in_gaa(x1, x2, x3)  =  pC_in_gaa(x1)
U58_gaa(x1, x2, x3, x4)  =  U58_gaa(x1, x4)
nE_in_ga(x1, x2)  =  nE_in_ga(x1)
star  =  star
nE_out_ga(x1, x2)  =  nE_out_ga(x1, x2)
U4_ga(x1, x2, x3)  =  U4_ga(x1, x3)
eF_in_ga(x1, x2)  =  eF_in_ga(x1)
U53_ga(x1, x2, x3)  =  U53_ga(x1, x3)
tN27_in_ga(x1, x2)  =  tN27_in_ga(x1)
rbrace  =  rbrace
tN27_out_ga(x1, x2)  =  tN27_out_ga(x1, x2)
U51_ga(x1, x2, x3)  =  U51_ga(x1, x3)
eN25_in_ga(x1, x2)  =  eN25_in_ga(x1)
U49_ga(x1, x2, x3)  =  U49_ga(x1, x3)
tN23_in_ga(x1, x2)  =  tN23_in_ga(x1)
tN23_out_ga(x1, x2)  =  tN23_out_ga(x1, x2)
U47_ga(x1, x2, x3)  =  U47_ga(x1, x3)
eN21_in_ga(x1, x2)  =  eN21_in_ga(x1)
U45_ga(x1, x2, x3)  =  U45_ga(x1, x3)
tN19_in_ga(x1, x2)  =  tN19_in_ga(x1)
tN19_out_ga(x1, x2)  =  tN19_out_ga(x1, x2)
U43_ga(x1, x2, x3)  =  U43_ga(x1, x3)
eN17_in_ga(x1, x2)  =  eN17_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x1, x3)
tN15_in_ga(x1, x2)  =  tN15_in_ga(x1)
tN15_out_ga(x1, x2)  =  tN15_out_ga(x1, x2)
U39_ga(x1, x2, x3)  =  U39_ga(x1, x3)
eN13_in_ga(x1, x2)  =  eN13_in_ga(x1)
U37_ga(x1, x2, x3)  =  U37_ga(x1, x3)
tN11_in_ga(x1, x2)  =  tN11_in_ga(x1)
tN11_out_ga(x1, x2)  =  tN11_out_ga(x1, x2)
U35_ga(x1, x2, x3)  =  U35_ga(x1, x3)
eI_in_ga(x1, x2)  =  eI_in_ga(x1)
U7_ga(x1, x2, x3)  =  U7_ga(x1, x3)
tG_in_ga(x1, x2)  =  tG_in_ga(x1)
tG_out_ga(x1, x2)  =  tG_out_ga(x1, x2)
U5_ga(x1, x2, x3)  =  U5_ga(x1, x3)
U3_ga(x1, x2, x3)  =  U3_ga(x1, x3)
pD_in_gaa(x1, x2, x3)  =  pD_in_gaa(x1)
U110_gaa(x1, x2, x3, x4)  =  U110_gaa(x1, x4)
tM_in_ga(x1, x2)  =  tM_in_ga(x1)
plus  =  plus
tM_out_ga(x1, x2)  =  tM_out_ga(x1, x2)
U11_ga(x1, x2, x3)  =  U11_ga(x1, x3)
eN_in_ga(x1, x2)  =  eN_in_ga(x1)
U33_ga(x1, x2, x3)  =  U33_ga(x1, x3)
tN8_in_ga(x1, x2)  =  tN8_in_ga(x1)
tN8_out_ga(x1, x2)  =  tN8_out_ga(x1, x2)
U31_ga(x1, x2, x3)  =  U31_ga(x1, x3)
eN6_in_ga(x1, x2)  =  eN6_in_ga(x1)
U29_ga(x1, x2, x3)  =  U29_ga(x1, x3)
tN4_in_ga(x1, x2)  =  tN4_in_ga(x1)
tN4_out_ga(x1, x2)  =  tN4_out_ga(x1, x2)
U27_ga(x1, x2, x3)  =  U27_ga(x1, x3)
eN2_in_ga(x1, x2)  =  eN2_in_ga(x1)
U25_ga(x1, x2, x3)  =  U25_ga(x1, x3)
tZ_in_ga(x1, x2)  =  tZ_in_ga(x1)
tZ_out_ga(x1, x2)  =  tZ_out_ga(x1, x2)
U23_ga(x1, x2, x3)  =  U23_ga(x1, x3)
eX_in_ga(x1, x2)  =  eX_in_ga(x1)
U21_ga(x1, x2, x3)  =  U21_ga(x1, x3)
tV_in_ga(x1, x2)  =  tV_in_ga(x1)
tV_out_ga(x1, x2)  =  tV_out_ga(x1, x2)
U19_ga(x1, x2, x3)  =  U19_ga(x1, x3)
eT_in_ga(x1, x2)  =  eT_in_ga(x1)
U17_ga(x1, x2, x3)  =  U17_ga(x1, x3)
tR_in_ga(x1, x2)  =  tR_in_ga(x1)
tR_out_ga(x1, x2)  =  tR_out_ga(x1, x2)
U15_ga(x1, x2, x3)  =  U15_ga(x1, x3)
eP_in_ga(x1, x2)  =  eP_in_ga(x1)
U13_ga(x1, x2, x3)  =  U13_ga(x1, x3)
tK_in_ga(x1, x2)  =  tK_in_ga(x1)
tK_out_ga(x1, x2)  =  tK_out_ga(x1, x2)
U9_ga(x1, x2, x3)  =  U9_ga(x1, x3)
eA_out_ga(x1, x2)  =  eA_out_ga(x1, x2)
U10_ga(x1, x2, x3)  =  U10_ga(x1, x3)
pL_in_gaa(x1, x2, x3)  =  pL_in_gaa(x1)
U64_gaa(x1, x2, x3, x4)  =  U64_gaa(x1, x4)
U65_gaa(x1, x2, x3, x4)  =  U65_gaa(x1, x2, x4)
pL_out_gaa(x1, x2, x3)  =  pL_out_gaa(x1, x2, x3)
eP_out_ga(x1, x2)  =  eP_out_ga(x1, x2)
U14_ga(x1, x2, x3)  =  U14_ga(x1, x3)
pQ_in_gaa(x1, x2, x3)  =  pQ_in_gaa(x1)
U66_gaa(x1, x2, x3, x4)  =  U66_gaa(x1, x4)
U12_ga(x1, x2, x3)  =  U12_ga(x1, x3)
pO_in_gaa(x1, x2, x3)  =  pO_in_gaa(x1)
U88_gaa(x1, x2, x3, x4)  =  U88_gaa(x1, x4)
U89_gaa(x1, x2, x3, x4)  =  U89_gaa(x1, x2, x4)
pO_out_gaa(x1, x2, x3)  =  pO_out_gaa(x1, x2, x3)
U67_gaa(x1, x2, x3, x4)  =  U67_gaa(x1, x2, x4)
pQ_out_gaa(x1, x2, x3)  =  pQ_out_gaa(x1, x2, x3)
U16_ga(x1, x2, x3)  =  U16_ga(x1, x3)
pS_in_gaa(x1, x2, x3)  =  pS_in_gaa(x1)
U68_gaa(x1, x2, x3, x4)  =  U68_gaa(x1, x4)
U69_gaa(x1, x2, x3, x4)  =  U69_gaa(x1, x2, x4)
pS_out_gaa(x1, x2, x3)  =  pS_out_gaa(x1, x2, x3)
eT_out_ga(x1, x2)  =  eT_out_ga(x1, x2)
U18_ga(x1, x2, x3)  =  U18_ga(x1, x3)
pU_in_gaa(x1, x2, x3)  =  pU_in_gaa(x1)
U70_gaa(x1, x2, x3, x4)  =  U70_gaa(x1, x4)
U71_gaa(x1, x2, x3, x4)  =  U71_gaa(x1, x2, x4)
pU_out_gaa(x1, x2, x3)  =  pU_out_gaa(x1, x2, x3)
U20_ga(x1, x2, x3)  =  U20_ga(x1, x3)
pW_in_gaa(x1, x2, x3)  =  pW_in_gaa(x1)
U72_gaa(x1, x2, x3, x4)  =  U72_gaa(x1, x4)
U73_gaa(x1, x2, x3, x4)  =  U73_gaa(x1, x2, x4)
pW_out_gaa(x1, x2, x3)  =  pW_out_gaa(x1, x2, x3)
eX_out_ga(x1, x2)  =  eX_out_ga(x1, x2)
U22_ga(x1, x2, x3)  =  U22_ga(x1, x3)
pY_in_gaa(x1, x2, x3)  =  pY_in_gaa(x1)
U74_gaa(x1, x2, x3, x4)  =  U74_gaa(x1, x4)
U75_gaa(x1, x2, x3, x4)  =  U75_gaa(x1, x2, x4)
pY_out_gaa(x1, x2, x3)  =  pY_out_gaa(x1, x2, x3)
U24_ga(x1, x2, x3)  =  U24_ga(x1, x3)
pN1_in_gaa(x1, x2, x3)  =  pN1_in_gaa(x1)
U76_gaa(x1, x2, x3, x4)  =  U76_gaa(x1, x4)
U77_gaa(x1, x2, x3, x4)  =  U77_gaa(x1, x2, x4)
pN1_out_gaa(x1, x2, x3)  =  pN1_out_gaa(x1, x2, x3)
eN2_out_ga(x1, x2)  =  eN2_out_ga(x1, x2)
U26_ga(x1, x2, x3)  =  U26_ga(x1, x3)
pN3_in_gaa(x1, x2, x3)  =  pN3_in_gaa(x1)
U78_gaa(x1, x2, x3, x4)  =  U78_gaa(x1, x4)
U79_gaa(x1, x2, x3, x4)  =  U79_gaa(x1, x2, x4)
pN3_out_gaa(x1, x2, x3)  =  pN3_out_gaa(x1, x2, x3)
U28_ga(x1, x2, x3)  =  U28_ga(x1, x3)
pN5_in_gaa(x1, x2, x3)  =  pN5_in_gaa(x1)
U80_gaa(x1, x2, x3, x4)  =  U80_gaa(x1, x4)
U81_gaa(x1, x2, x3, x4)  =  U81_gaa(x1, x2, x4)
pN5_out_gaa(x1, x2, x3)  =  pN5_out_gaa(x1, x2, x3)
eN6_out_ga(x1, x2)  =  eN6_out_ga(x1, x2)
U30_ga(x1, x2, x3)  =  U30_ga(x1, x3)
pN7_in_gaa(x1, x2, x3)  =  pN7_in_gaa(x1)
U82_gaa(x1, x2, x3, x4)  =  U82_gaa(x1, x4)
U83_gaa(x1, x2, x3, x4)  =  U83_gaa(x1, x2, x4)
pN7_out_gaa(x1, x2, x3)  =  pN7_out_gaa(x1, x2, x3)
U32_ga(x1, x2, x3)  =  U32_ga(x1, x3)
pN9_in_gaa(x1, x2, x3)  =  pN9_in_gaa(x1)
U84_gaa(x1, x2, x3, x4)  =  U84_gaa(x1, x4)
U85_gaa(x1, x2, x3, x4)  =  U85_gaa(x1, x2, x4)
pN9_out_gaa(x1, x2, x3)  =  pN9_out_gaa(x1, x2, x3)
eN_out_ga(x1, x2)  =  eN_out_ga(x1, x2)
U34_ga(x1, x2, x3)  =  U34_ga(x1, x3)
pN10_in_gaa(x1, x2, x3)  =  pN10_in_gaa(x1)
U86_gaa(x1, x2, x3, x4)  =  U86_gaa(x1, x4)
U87_gaa(x1, x2, x3, x4)  =  U87_gaa(x1, x2, x4)
pN10_out_gaa(x1, x2, x3)  =  pN10_out_gaa(x1, x2, x3)
U111_gaa(x1, x2, x3, x4)  =  U111_gaa(x1, x2, x4)
pD_out_gaa(x1, x2, x3)  =  pD_out_gaa(x1, x2, x3)
U6_ga(x1, x2, x3)  =  U6_ga(x1, x3)
pH_in_gaa(x1, x2, x3)  =  pH_in_gaa(x1)
U60_gaa(x1, x2, x3, x4)  =  U60_gaa(x1, x4)
U61_gaa(x1, x2, x3, x4)  =  U61_gaa(x1, x2, x4)
pH_out_gaa(x1, x2, x3)  =  pH_out_gaa(x1, x2, x3)
eI_out_ga(x1, x2)  =  eI_out_ga(x1, x2)
U8_ga(x1, x2, x3)  =  U8_ga(x1, x3)
pJ_in_gaa(x1, x2, x3)  =  pJ_in_gaa(x1)
U62_gaa(x1, x2, x3, x4)  =  U62_gaa(x1, x4)
U63_gaa(x1, x2, x3, x4)  =  U63_gaa(x1, x2, x4)
pJ_out_gaa(x1, x2, x3)  =  pJ_out_gaa(x1, x2, x3)
U36_ga(x1, x2, x3)  =  U36_ga(x1, x3)
pN12_in_gaa(x1, x2, x3)  =  pN12_in_gaa(x1)
U90_gaa(x1, x2, x3, x4)  =  U90_gaa(x1, x4)
U91_gaa(x1, x2, x3, x4)  =  U91_gaa(x1, x2, x4)
pN12_out_gaa(x1, x2, x3)  =  pN12_out_gaa(x1, x2, x3)
eN13_out_ga(x1, x2)  =  eN13_out_ga(x1, x2)
U38_ga(x1, x2, x3)  =  U38_ga(x1, x3)
pN14_in_gaa(x1, x2, x3)  =  pN14_in_gaa(x1)
U92_gaa(x1, x2, x3, x4)  =  U92_gaa(x1, x4)
U93_gaa(x1, x2, x3, x4)  =  U93_gaa(x1, x2, x4)
pN14_out_gaa(x1, x2, x3)  =  pN14_out_gaa(x1, x2, x3)
U40_ga(x1, x2, x3)  =  U40_ga(x1, x3)
pN16_in_gaa(x1, x2, x3)  =  pN16_in_gaa(x1)
U94_gaa(x1, x2, x3, x4)  =  U94_gaa(x1, x4)
U95_gaa(x1, x2, x3, x4)  =  U95_gaa(x1, x2, x4)
pN16_out_gaa(x1, x2, x3)  =  pN16_out_gaa(x1, x2, x3)
eN17_out_ga(x1, x2)  =  eN17_out_ga(x1, x2)
U42_ga(x1, x2, x3)  =  U42_ga(x1, x3)
pN18_in_gaa(x1, x2, x3)  =  pN18_in_gaa(x1)
U96_gaa(x1, x2, x3, x4)  =  U96_gaa(x1, x4)
U97_gaa(x1, x2, x3, x4)  =  U97_gaa(x1, x2, x4)
pN18_out_gaa(x1, x2, x3)  =  pN18_out_gaa(x1, x2, x3)
U44_ga(x1, x2, x3)  =  U44_ga(x1, x3)
pN20_in_gaa(x1, x2, x3)  =  pN20_in_gaa(x1)
U98_gaa(x1, x2, x3, x4)  =  U98_gaa(x1, x4)
U99_gaa(x1, x2, x3, x4)  =  U99_gaa(x1, x2, x4)
pN20_out_gaa(x1, x2, x3)  =  pN20_out_gaa(x1, x2, x3)
eN21_out_ga(x1, x2)  =  eN21_out_ga(x1, x2)
U46_ga(x1, x2, x3)  =  U46_ga(x1, x3)
pN22_in_gaa(x1, x2, x3)  =  pN22_in_gaa(x1)
U100_gaa(x1, x2, x3, x4)  =  U100_gaa(x1, x4)
U101_gaa(x1, x2, x3, x4)  =  U101_gaa(x1, x2, x4)
pN22_out_gaa(x1, x2, x3)  =  pN22_out_gaa(x1, x2, x3)
U48_ga(x1, x2, x3)  =  U48_ga(x1, x3)
pN24_in_gaa(x1, x2, x3)  =  pN24_in_gaa(x1)
U102_gaa(x1, x2, x3, x4)  =  U102_gaa(x1, x4)
U103_gaa(x1, x2, x3, x4)  =  U103_gaa(x1, x2, x4)
pN24_out_gaa(x1, x2, x3)  =  pN24_out_gaa(x1, x2, x3)
eN25_out_ga(x1, x2)  =  eN25_out_ga(x1, x2)
U50_ga(x1, x2, x3)  =  U50_ga(x1, x3)
pN26_in_gaa(x1, x2, x3)  =  pN26_in_gaa(x1)
U104_gaa(x1, x2, x3, x4)  =  U104_gaa(x1, x4)
U105_gaa(x1, x2, x3, x4)  =  U105_gaa(x1, x2, x4)
pN26_out_gaa(x1, x2, x3)  =  pN26_out_gaa(x1, x2, x3)
U52_ga(x1, x2, x3)  =  U52_ga(x1, x3)
pN28_in_gaa(x1, x2, x3)  =  pN28_in_gaa(x1)
U106_gaa(x1, x2, x3, x4)  =  U106_gaa(x1, x4)
U107_gaa(x1, x2, x3, x4)  =  U107_gaa(x1, x2, x4)
pN28_out_gaa(x1, x2, x3)  =  pN28_out_gaa(x1, x2, x3)
eF_out_ga(x1, x2)  =  eF_out_ga(x1, x2)
U54_ga(x1, x2, x3)  =  U54_ga(x1, x3)
pN29_in_gaa(x1, x2, x3)  =  pN29_in_gaa(x1)
U108_gaa(x1, x2, x3, x4)  =  U108_gaa(x1, x4)
U109_gaa(x1, x2, x3, x4)  =  U109_gaa(x1, x2, x4)
pN29_out_gaa(x1, x2, x3)  =  pN29_out_gaa(x1, x2, x3)
U59_gaa(x1, x2, x3, x4)  =  U59_gaa(x1, x2, x4)
tN30_in_ga(x1, x2)  =  tN30_in_ga(x1)
U56_ga(x1, x2, x3)  =  U56_ga(x1, x3)
tN30_out_ga(x1, x2)  =  tN30_out_ga(x1, x2)
U57_ga(x1, x2, x3)  =  U57_ga(x1, x3)
pC_out_gaa(x1, x2, x3)  =  pC_out_gaa(x1, x2, x3)

(3) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LOPSTR] we result in the following initial DP problem:
Pi DP problem:
The TRS P consists of the following rules:

EA_IN_GA(T22, T24) → U1_GA(T22, T24, nB_in_ga(T22, T24))
EA_IN_GA(T22, T24) → NB_IN_GA(T22, T24)
NB_IN_GA(.(lbrace, T41), T43) → U55_GA(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
NB_IN_GA(.(lbrace, T41), T43) → EA_IN_GA(T41, .(rbrace, T43))
EA_IN_GA(T62, T64) → U2_GA(T62, T64, pC_in_gaa(T62, X55, T64))
EA_IN_GA(T62, T64) → PC_IN_GAA(T62, X55, T64)
PC_IN_GAA(T62, T68, T64) → U58_GAA(T62, T68, T64, nE_in_ga(T62, T68))
PC_IN_GAA(T62, T68, T64) → NE_IN_GA(T62, T68)
NE_IN_GA(.(lbrace, T89), X78) → U4_GA(T89, X78, eF_in_ga(T89, X78))
NE_IN_GA(.(lbrace, T89), X78) → EF_IN_GA(T89, X78)
EF_IN_GA(T97, X102) → U53_GA(T97, X102, tN27_in_ga(T97, X102))
EF_IN_GA(T97, X102) → TN27_IN_GA(T97, X102)
TN27_IN_GA(.(lbrace, T130), X145) → U51_GA(T130, X145, eN25_in_ga(T130, X145))
TN27_IN_GA(.(lbrace, T130), X145) → EN25_IN_GA(T130, X145)
EN25_IN_GA(T138, X169) → U49_GA(T138, X169, tN23_in_ga(T138, X169))
EN25_IN_GA(T138, X169) → TN23_IN_GA(T138, X169)
TN23_IN_GA(.(lbrace, T171), X212) → U47_GA(T171, X212, eN21_in_ga(T171, X212))
TN23_IN_GA(.(lbrace, T171), X212) → EN21_IN_GA(T171, X212)
EN21_IN_GA(T179, X236) → U45_GA(T179, X236, tN19_in_ga(T179, X236))
EN21_IN_GA(T179, X236) → TN19_IN_GA(T179, X236)
TN19_IN_GA(.(lbrace, T212), X279) → U43_GA(T212, X279, eN17_in_ga(T212, X279))
TN19_IN_GA(.(lbrace, T212), X279) → EN17_IN_GA(T212, X279)
EN17_IN_GA(T220, X303) → U41_GA(T220, X303, tN15_in_ga(T220, X303))
EN17_IN_GA(T220, X303) → TN15_IN_GA(T220, X303)
TN15_IN_GA(.(lbrace, T253), X346) → U39_GA(T253, X346, eN13_in_ga(T253, X346))
TN15_IN_GA(.(lbrace, T253), X346) → EN13_IN_GA(T253, X346)
EN13_IN_GA(T261, X370) → U37_GA(T261, X370, tN11_in_ga(T261, X370))
EN13_IN_GA(T261, X370) → TN11_IN_GA(T261, X370)
TN11_IN_GA(.(lbrace, T294), X413) → U35_GA(T294, X413, eI_in_ga(T294, X413))
TN11_IN_GA(.(lbrace, T294), X413) → EI_IN_GA(T294, X413)
EI_IN_GA(T302, X437) → U7_GA(T302, X437, tG_in_ga(T302, X437))
EI_IN_GA(T302, X437) → TG_IN_GA(T302, X437)
TG_IN_GA(.(lbrace, T335), X480) → U5_GA(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
TG_IN_GA(.(lbrace, T335), X480) → EA_IN_GA(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))
EA_IN_GA(T941, T943) → U3_GA(T941, T943, pD_in_gaa(T941, X1509, T943))
EA_IN_GA(T941, T943) → PD_IN_GAA(T941, X1509, T943)
PD_IN_GAA(T941, T945, T943) → U110_GAA(T941, T945, T943, tM_in_ga(T941, T945))
PD_IN_GAA(T941, T945, T943) → TM_IN_GA(T941, T945)
TM_IN_GA(.(lbrace, T392), X565) → U11_GA(T392, X565, eN_in_ga(T392, X565))
TM_IN_GA(.(lbrace, T392), X565) → EN_IN_GA(T392, X565)
EN_IN_GA(T400, X589) → U33_GA(T400, X589, tN8_in_ga(T400, X589))
EN_IN_GA(T400, X589) → TN8_IN_GA(T400, X589)
TN8_IN_GA(.(lbrace, T433), X632) → U31_GA(T433, X632, eN6_in_ga(T433, X632))
TN8_IN_GA(.(lbrace, T433), X632) → EN6_IN_GA(T433, X632)
EN6_IN_GA(T441, X656) → U29_GA(T441, X656, tN4_in_ga(T441, X656))
EN6_IN_GA(T441, X656) → TN4_IN_GA(T441, X656)
TN4_IN_GA(.(lbrace, T474), X699) → U27_GA(T474, X699, eN2_in_ga(T474, X699))
TN4_IN_GA(.(lbrace, T474), X699) → EN2_IN_GA(T474, X699)
EN2_IN_GA(T482, X723) → U25_GA(T482, X723, tZ_in_ga(T482, X723))
EN2_IN_GA(T482, X723) → TZ_IN_GA(T482, X723)
TZ_IN_GA(.(lbrace, T515), X766) → U23_GA(T515, X766, eX_in_ga(T515, X766))
TZ_IN_GA(.(lbrace, T515), X766) → EX_IN_GA(T515, X766)
EX_IN_GA(T523, X790) → U21_GA(T523, X790, tV_in_ga(T523, X790))
EX_IN_GA(T523, X790) → TV_IN_GA(T523, X790)
TV_IN_GA(.(lbrace, T556), X833) → U19_GA(T556, X833, eT_in_ga(T556, X833))
TV_IN_GA(.(lbrace, T556), X833) → ET_IN_GA(T556, X833)
ET_IN_GA(T564, X857) → U17_GA(T564, X857, tR_in_ga(T564, X857))
ET_IN_GA(T564, X857) → TR_IN_GA(T564, X857)
TR_IN_GA(.(lbrace, T597), X900) → U15_GA(T597, X900, eP_in_ga(T597, X900))
TR_IN_GA(.(lbrace, T597), X900) → EP_IN_GA(T597, X900)
EP_IN_GA(T605, X924) → U13_GA(T605, X924, tK_in_ga(T605, X924))
EP_IN_GA(T605, X924) → TK_IN_GA(T605, X924)
TK_IN_GA(.(lbrace, T638), X967) → U9_GA(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
TK_IN_GA(.(lbrace, T638), X967) → EA_IN_GA(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))
TK_IN_GA(T648, X985) → U10_GA(T648, X985, pL_in_gaa(T648, X984, X985))
TK_IN_GA(T648, X985) → PL_IN_GAA(T648, X984, X985)
PL_IN_GAA(T648, T652, X985) → U64_GAA(T648, T652, X985, nE_in_ga(T648, T652))
PL_IN_GAA(T648, T652, X985) → NE_IN_GA(T648, T652)
U64_GAA(T648, T652, X985, nE_out_ga(T648, T652)) → U65_GAA(T648, T652, X985, tK_in_ga(T652, X985))
U64_GAA(T648, T652, X985, nE_out_ga(T648, T652)) → TK_IN_GA(T652, X985)
EP_IN_GA(T660, X1006) → U14_GA(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
EP_IN_GA(T660, X1006) → PQ_IN_GAA(T660, X1005, X1006)
PQ_IN_GAA(T660, T662, X1006) → U66_GAA(T660, T662, X1006, tM_in_ga(T660, T662))
PQ_IN_GAA(T660, T662, X1006) → TM_IN_GA(T660, T662)
TM_IN_GA(T780, X1243) → U12_GA(T780, X1243, pO_in_gaa(T780, X1242, X1243))
TM_IN_GA(T780, X1243) → PO_IN_GAA(T780, X1242, X1243)
PO_IN_GAA(T780, T784, X1243) → U88_GAA(T780, T784, X1243, nE_in_ga(T780, T784))
PO_IN_GAA(T780, T784, X1243) → NE_IN_GA(T780, T784)
U88_GAA(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_GAA(T780, T784, X1243, tM_in_ga(T784, X1243))
U88_GAA(T780, T784, X1243, nE_out_ga(T780, T784)) → TM_IN_GA(T784, X1243)
U66_GAA(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_GAA(T660, T662, X1006, eP_in_ga(T662, X1006))
U66_GAA(T660, T662, X1006, tM_out_ga(T660, T662)) → EP_IN_GA(T662, X1006)
TR_IN_GA(T670, X1028) → U16_GA(T670, X1028, pS_in_gaa(T670, X1027, X1028))
TR_IN_GA(T670, X1028) → PS_IN_GAA(T670, X1027, X1028)
PS_IN_GAA(T670, T674, X1028) → U68_GAA(T670, T674, X1028, nE_in_ga(T670, T674))
PS_IN_GAA(T670, T674, X1028) → NE_IN_GA(T670, T674)
U68_GAA(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_GAA(T670, T674, X1028, tR_in_ga(T674, X1028))
U68_GAA(T670, T674, X1028, nE_out_ga(T670, T674)) → TR_IN_GA(T674, X1028)
ET_IN_GA(T682, X1049) → U18_GA(T682, X1049, pU_in_gaa(T682, X1048, X1049))
ET_IN_GA(T682, X1049) → PU_IN_GAA(T682, X1048, X1049)
PU_IN_GAA(T682, T684, X1049) → U70_GAA(T682, T684, X1049, tM_in_ga(T682, T684))
PU_IN_GAA(T682, T684, X1049) → TM_IN_GA(T682, T684)
U70_GAA(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_GAA(T682, T684, X1049, eT_in_ga(T684, X1049))
U70_GAA(T682, T684, X1049, tM_out_ga(T682, T684)) → ET_IN_GA(T684, X1049)
TV_IN_GA(T692, X1071) → U20_GA(T692, X1071, pW_in_gaa(T692, X1070, X1071))
TV_IN_GA(T692, X1071) → PW_IN_GAA(T692, X1070, X1071)
PW_IN_GAA(T692, T696, X1071) → U72_GAA(T692, T696, X1071, nE_in_ga(T692, T696))
PW_IN_GAA(T692, T696, X1071) → NE_IN_GA(T692, T696)
U72_GAA(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_GAA(T692, T696, X1071, tV_in_ga(T696, X1071))
U72_GAA(T692, T696, X1071, nE_out_ga(T692, T696)) → TV_IN_GA(T696, X1071)
EX_IN_GA(T704, X1092) → U22_GA(T704, X1092, pY_in_gaa(T704, X1091, X1092))
EX_IN_GA(T704, X1092) → PY_IN_GAA(T704, X1091, X1092)
PY_IN_GAA(T704, T706, X1092) → U74_GAA(T704, T706, X1092, tM_in_ga(T704, T706))
PY_IN_GAA(T704, T706, X1092) → TM_IN_GA(T704, T706)
U74_GAA(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_GAA(T704, T706, X1092, eX_in_ga(T706, X1092))
U74_GAA(T704, T706, X1092, tM_out_ga(T704, T706)) → EX_IN_GA(T706, X1092)
TZ_IN_GA(T714, X1114) → U24_GA(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
TZ_IN_GA(T714, X1114) → PN1_IN_GAA(T714, X1113, X1114)
PN1_IN_GAA(T714, T718, X1114) → U76_GAA(T714, T718, X1114, nE_in_ga(T714, T718))
PN1_IN_GAA(T714, T718, X1114) → NE_IN_GA(T714, T718)
U76_GAA(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_GAA(T714, T718, X1114, tZ_in_ga(T718, X1114))
U76_GAA(T714, T718, X1114, nE_out_ga(T714, T718)) → TZ_IN_GA(T718, X1114)
EN2_IN_GA(T726, X1135) → U26_GA(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
EN2_IN_GA(T726, X1135) → PN3_IN_GAA(T726, X1134, X1135)
PN3_IN_GAA(T726, T728, X1135) → U78_GAA(T726, T728, X1135, tM_in_ga(T726, T728))
PN3_IN_GAA(T726, T728, X1135) → TM_IN_GA(T726, T728)
U78_GAA(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_GAA(T726, T728, X1135, eN2_in_ga(T728, X1135))
U78_GAA(T726, T728, X1135, tM_out_ga(T726, T728)) → EN2_IN_GA(T728, X1135)
TN4_IN_GA(T736, X1157) → U28_GA(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
TN4_IN_GA(T736, X1157) → PN5_IN_GAA(T736, X1156, X1157)
PN5_IN_GAA(T736, T740, X1157) → U80_GAA(T736, T740, X1157, nE_in_ga(T736, T740))
PN5_IN_GAA(T736, T740, X1157) → NE_IN_GA(T736, T740)
U80_GAA(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_GAA(T736, T740, X1157, tN4_in_ga(T740, X1157))
U80_GAA(T736, T740, X1157, nE_out_ga(T736, T740)) → TN4_IN_GA(T740, X1157)
EN6_IN_GA(T748, X1178) → U30_GA(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
EN6_IN_GA(T748, X1178) → PN7_IN_GAA(T748, X1177, X1178)
PN7_IN_GAA(T748, T750, X1178) → U82_GAA(T748, T750, X1178, tM_in_ga(T748, T750))
PN7_IN_GAA(T748, T750, X1178) → TM_IN_GA(T748, T750)
U82_GAA(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_GAA(T748, T750, X1178, eN6_in_ga(T750, X1178))
U82_GAA(T748, T750, X1178, tM_out_ga(T748, T750)) → EN6_IN_GA(T750, X1178)
TN8_IN_GA(T758, X1200) → U32_GA(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
TN8_IN_GA(T758, X1200) → PN9_IN_GAA(T758, X1199, X1200)
PN9_IN_GAA(T758, T762, X1200) → U84_GAA(T758, T762, X1200, nE_in_ga(T758, T762))
PN9_IN_GAA(T758, T762, X1200) → NE_IN_GA(T758, T762)
U84_GAA(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_GAA(T758, T762, X1200, tN8_in_ga(T762, X1200))
U84_GAA(T758, T762, X1200, nE_out_ga(T758, T762)) → TN8_IN_GA(T762, X1200)
EN_IN_GA(T770, X1221) → U34_GA(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
EN_IN_GA(T770, X1221) → PN10_IN_GAA(T770, X1220, X1221)
PN10_IN_GAA(T770, T772, X1221) → U86_GAA(T770, T772, X1221, tM_in_ga(T770, T772))
PN10_IN_GAA(T770, T772, X1221) → TM_IN_GA(T770, T772)
U86_GAA(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_GAA(T770, T772, X1221, eN_in_ga(T772, X1221))
U86_GAA(T770, T772, X1221, tM_out_ga(T770, T772)) → EN_IN_GA(T772, X1221)
U110_GAA(T941, T945, T943, tM_out_ga(T941, T945)) → U111_GAA(T941, T945, T943, eA_in_ga(T945, T943))
U110_GAA(T941, T945, T943, tM_out_ga(T941, T945)) → EA_IN_GA(T945, T943)
TG_IN_GA(T345, X498) → U6_GA(T345, X498, pH_in_gaa(T345, X497, X498))
TG_IN_GA(T345, X498) → PH_IN_GAA(T345, X497, X498)
PH_IN_GAA(T345, T349, X498) → U60_GAA(T345, T349, X498, nE_in_ga(T345, T349))
PH_IN_GAA(T345, T349, X498) → NE_IN_GA(T345, T349)
U60_GAA(T345, T349, X498, nE_out_ga(T345, T349)) → U61_GAA(T345, T349, X498, tG_in_ga(T349, X498))
U60_GAA(T345, T349, X498, nE_out_ga(T345, T349)) → TG_IN_GA(T349, X498)
EI_IN_GA(T357, X519) → U8_GA(T357, X519, pJ_in_gaa(T357, X518, X519))
EI_IN_GA(T357, X519) → PJ_IN_GAA(T357, X518, X519)
PJ_IN_GAA(T357, T359, X519) → U62_GAA(T357, T359, X519, tM_in_ga(T357, T359))
PJ_IN_GAA(T357, T359, X519) → TM_IN_GA(T357, T359)
U62_GAA(T357, T359, X519, tM_out_ga(T357, T359)) → U63_GAA(T357, T359, X519, eI_in_ga(T359, X519))
U62_GAA(T357, T359, X519, tM_out_ga(T357, T359)) → EI_IN_GA(T359, X519)
TN11_IN_GA(T795, X1266) → U36_GA(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
TN11_IN_GA(T795, X1266) → PN12_IN_GAA(T795, X1265, X1266)
PN12_IN_GAA(T795, T799, X1266) → U90_GAA(T795, T799, X1266, nE_in_ga(T795, T799))
PN12_IN_GAA(T795, T799, X1266) → NE_IN_GA(T795, T799)
U90_GAA(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_GAA(T795, T799, X1266, tN11_in_ga(T799, X1266))
U90_GAA(T795, T799, X1266, nE_out_ga(T795, T799)) → TN11_IN_GA(T799, X1266)
EN13_IN_GA(T807, X1287) → U38_GA(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
EN13_IN_GA(T807, X1287) → PN14_IN_GAA(T807, X1286, X1287)
PN14_IN_GAA(T807, T809, X1287) → U92_GAA(T807, T809, X1287, tM_in_ga(T807, T809))
PN14_IN_GAA(T807, T809, X1287) → TM_IN_GA(T807, T809)
U92_GAA(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_GAA(T807, T809, X1287, eN13_in_ga(T809, X1287))
U92_GAA(T807, T809, X1287, tM_out_ga(T807, T809)) → EN13_IN_GA(T809, X1287)
TN15_IN_GA(T817, X1309) → U40_GA(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
TN15_IN_GA(T817, X1309) → PN16_IN_GAA(T817, X1308, X1309)
PN16_IN_GAA(T817, T821, X1309) → U94_GAA(T817, T821, X1309, nE_in_ga(T817, T821))
PN16_IN_GAA(T817, T821, X1309) → NE_IN_GA(T817, T821)
U94_GAA(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_GAA(T817, T821, X1309, tN15_in_ga(T821, X1309))
U94_GAA(T817, T821, X1309, nE_out_ga(T817, T821)) → TN15_IN_GA(T821, X1309)
EN17_IN_GA(T829, X1330) → U42_GA(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
EN17_IN_GA(T829, X1330) → PN18_IN_GAA(T829, X1329, X1330)
PN18_IN_GAA(T829, T831, X1330) → U96_GAA(T829, T831, X1330, tM_in_ga(T829, T831))
PN18_IN_GAA(T829, T831, X1330) → TM_IN_GA(T829, T831)
U96_GAA(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_GAA(T829, T831, X1330, eN17_in_ga(T831, X1330))
U96_GAA(T829, T831, X1330, tM_out_ga(T829, T831)) → EN17_IN_GA(T831, X1330)
TN19_IN_GA(T839, X1352) → U44_GA(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
TN19_IN_GA(T839, X1352) → PN20_IN_GAA(T839, X1351, X1352)
PN20_IN_GAA(T839, T843, X1352) → U98_GAA(T839, T843, X1352, nE_in_ga(T839, T843))
PN20_IN_GAA(T839, T843, X1352) → NE_IN_GA(T839, T843)
U98_GAA(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_GAA(T839, T843, X1352, tN19_in_ga(T843, X1352))
U98_GAA(T839, T843, X1352, nE_out_ga(T839, T843)) → TN19_IN_GA(T843, X1352)
EN21_IN_GA(T851, X1373) → U46_GA(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
EN21_IN_GA(T851, X1373) → PN22_IN_GAA(T851, X1372, X1373)
PN22_IN_GAA(T851, T853, X1373) → U100_GAA(T851, T853, X1373, tM_in_ga(T851, T853))
PN22_IN_GAA(T851, T853, X1373) → TM_IN_GA(T851, T853)
U100_GAA(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_GAA(T851, T853, X1373, eN21_in_ga(T853, X1373))
U100_GAA(T851, T853, X1373, tM_out_ga(T851, T853)) → EN21_IN_GA(T853, X1373)
TN23_IN_GA(T861, X1395) → U48_GA(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
TN23_IN_GA(T861, X1395) → PN24_IN_GAA(T861, X1394, X1395)
PN24_IN_GAA(T861, T865, X1395) → U102_GAA(T861, T865, X1395, nE_in_ga(T861, T865))
PN24_IN_GAA(T861, T865, X1395) → NE_IN_GA(T861, T865)
U102_GAA(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_GAA(T861, T865, X1395, tN23_in_ga(T865, X1395))
U102_GAA(T861, T865, X1395, nE_out_ga(T861, T865)) → TN23_IN_GA(T865, X1395)
EN25_IN_GA(T873, X1416) → U50_GA(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
EN25_IN_GA(T873, X1416) → PN26_IN_GAA(T873, X1415, X1416)
PN26_IN_GAA(T873, T875, X1416) → U104_GAA(T873, T875, X1416, tM_in_ga(T873, T875))
PN26_IN_GAA(T873, T875, X1416) → TM_IN_GA(T873, T875)
U104_GAA(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_GAA(T873, T875, X1416, eN25_in_ga(T875, X1416))
U104_GAA(T873, T875, X1416, tM_out_ga(T873, T875)) → EN25_IN_GA(T875, X1416)
TN27_IN_GA(T883, X1438) → U52_GA(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
TN27_IN_GA(T883, X1438) → PN28_IN_GAA(T883, X1437, X1438)
PN28_IN_GAA(T883, T887, X1438) → U106_GAA(T883, T887, X1438, nE_in_ga(T883, T887))
PN28_IN_GAA(T883, T887, X1438) → NE_IN_GA(T883, T887)
U106_GAA(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_GAA(T883, T887, X1438, tN27_in_ga(T887, X1438))
U106_GAA(T883, T887, X1438, nE_out_ga(T883, T887)) → TN27_IN_GA(T887, X1438)
EF_IN_GA(T895, X1459) → U54_GA(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
EF_IN_GA(T895, X1459) → PN29_IN_GAA(T895, X1458, X1459)
PN29_IN_GAA(T895, T897, X1459) → U108_GAA(T895, T897, X1459, tM_in_ga(T895, T897))
PN29_IN_GAA(T895, T897, X1459) → TM_IN_GA(T895, T897)
U108_GAA(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_GAA(T895, T897, X1459, eF_in_ga(T897, X1459))
U108_GAA(T895, T897, X1459, tM_out_ga(T895, T897)) → EF_IN_GA(T897, X1459)
U58_GAA(T62, T68, T64, nE_out_ga(T62, T68)) → U59_GAA(T62, T68, T64, tN30_in_ga(T68, T64))
U58_GAA(T62, T68, T64, nE_out_ga(T62, T68)) → TN30_IN_GA(T68, T64)
TN30_IN_GA(T916, T918) → U56_GA(T916, T918, nB_in_ga(T916, T918))
TN30_IN_GA(T916, T918) → NB_IN_GA(T916, T918)
TN30_IN_GA(T929, T931) → U57_GA(T929, T931, pC_in_gaa(T929, X1496, T931))
TN30_IN_GA(T929, T931) → PC_IN_GAA(T929, X1496, T931)

The TRS R consists of the following rules:

eA_in_ga(T22, T24) → U1_ga(T22, T24, nB_in_ga(T22, T24))
nB_in_ga(.(a, T36), T36) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36), T36) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36), T36) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41), T43) → U55_ga(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
eA_in_ga(T62, T64) → U2_ga(T62, T64, pC_in_gaa(T62, X55, T64))
pC_in_gaa(T62, T68, T64) → U58_gaa(T62, T68, T64, nE_in_ga(T62, T68))
nE_in_ga(.(a, .(star, T86)), T86) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86)), T86) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86)), T86) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89), X78) → U4_ga(T89, X78, eF_in_ga(T89, X78))
eF_in_ga(T97, X102) → U53_ga(T97, X102, tN27_in_ga(T97, X102))
tN27_in_ga(.(a, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130), X145) → U51_ga(T130, X145, eN25_in_ga(T130, X145))
eN25_in_ga(T138, X169) → U49_ga(T138, X169, tN23_in_ga(T138, X169))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171), X212) → U47_ga(T171, X212, eN21_in_ga(T171, X212))
eN21_in_ga(T179, X236) → U45_ga(T179, X236, tN19_in_ga(T179, X236))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212), X279) → U43_ga(T212, X279, eN17_in_ga(T212, X279))
eN17_in_ga(T220, X303) → U41_ga(T220, X303, tN15_in_ga(T220, X303))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253), X346) → U39_ga(T253, X346, eN13_in_ga(T253, X346))
eN13_in_ga(T261, X370) → U37_ga(T261, X370, tN11_in_ga(T261, X370))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294), X413) → U35_ga(T294, X413, eI_in_ga(T294, X413))
eI_in_ga(T302, X437) → U7_ga(T302, X437, tG_in_ga(T302, X437))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335), X480) → U5_ga(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
eA_in_ga(T941, T943) → U3_ga(T941, T943, pD_in_gaa(T941, X1509, T943))
pD_in_gaa(T941, T945, T943) → U110_gaa(T941, T945, T943, tM_in_ga(T941, T945))
tM_in_ga(.(a, .(plus, T389)), T389) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389)), T389) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389)), T389) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392), X565) → U11_ga(T392, X565, eN_in_ga(T392, X565))
eN_in_ga(T400, X589) → U33_ga(T400, X589, tN8_in_ga(T400, X589))
tN8_in_ga(.(a, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433), X632) → U31_ga(T433, X632, eN6_in_ga(T433, X632))
eN6_in_ga(T441, X656) → U29_ga(T441, X656, tN4_in_ga(T441, X656))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474), X699) → U27_ga(T474, X699, eN2_in_ga(T474, X699))
eN2_in_ga(T482, X723) → U25_ga(T482, X723, tZ_in_ga(T482, X723))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515), X766) → U23_ga(T515, X766, eX_in_ga(T515, X766))
eX_in_ga(T523, X790) → U21_ga(T523, X790, tV_in_ga(T523, X790))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556), X833) → U19_ga(T556, X833, eT_in_ga(T556, X833))
eT_in_ga(T564, X857) → U17_ga(T564, X857, tR_in_ga(T564, X857))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597), X900) → U15_ga(T597, X900, eP_in_ga(T597, X900))
eP_in_ga(T605, X924) → U13_ga(T605, X924, tK_in_ga(T605, X924))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638), X967) → U9_ga(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
U9_ga(T638, X967, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648, X985) → U10_ga(T648, X985, pL_in_gaa(T648, X984, X985))
pL_in_gaa(T648, T652, X985) → U64_gaa(T648, T652, X985, nE_in_ga(T648, T652))
U64_gaa(T648, T652, X985, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, X985, tK_in_ga(T652, X985))
U65_gaa(T648, T652, X985, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, X985, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, X924, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660, X1006) → U14_ga(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
pQ_in_gaa(T660, T662, X1006) → U66_gaa(T660, T662, X1006, tM_in_ga(T660, T662))
tM_in_ga(T780, X1243) → U12_ga(T780, X1243, pO_in_gaa(T780, X1242, X1243))
pO_in_gaa(T780, T784, X1243) → U88_gaa(T780, T784, X1243, nE_in_ga(T780, T784))
U88_gaa(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, X1243, tM_in_ga(T784, X1243))
U89_gaa(T780, T784, X1243, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, X1243, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, X1006, eP_in_ga(T662, X1006))
U67_gaa(T660, T662, X1006, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, X1006, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, X900, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670, X1028) → U16_ga(T670, X1028, pS_in_gaa(T670, X1027, X1028))
pS_in_gaa(T670, T674, X1028) → U68_gaa(T670, T674, X1028, nE_in_ga(T670, T674))
U68_gaa(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, X1028, tR_in_ga(T674, X1028))
U69_gaa(T670, T674, X1028, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, X1028, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, X857, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682, X1049) → U18_ga(T682, X1049, pU_in_gaa(T682, X1048, X1049))
pU_in_gaa(T682, T684, X1049) → U70_gaa(T682, T684, X1049, tM_in_ga(T682, T684))
U70_gaa(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, X1049, eT_in_ga(T684, X1049))
U71_gaa(T682, T684, X1049, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, X1049, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, X833, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692, X1071) → U20_ga(T692, X1071, pW_in_gaa(T692, X1070, X1071))
pW_in_gaa(T692, T696, X1071) → U72_gaa(T692, T696, X1071, nE_in_ga(T692, T696))
U72_gaa(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, X1071, tV_in_ga(T696, X1071))
U73_gaa(T692, T696, X1071, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, X1071, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, X790, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704, X1092) → U22_ga(T704, X1092, pY_in_gaa(T704, X1091, X1092))
pY_in_gaa(T704, T706, X1092) → U74_gaa(T704, T706, X1092, tM_in_ga(T704, T706))
U74_gaa(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, X1092, eX_in_ga(T706, X1092))
U75_gaa(T704, T706, X1092, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, X1092, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, X766, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714, X1114) → U24_ga(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
pN1_in_gaa(T714, T718, X1114) → U76_gaa(T714, T718, X1114, nE_in_ga(T714, T718))
U76_gaa(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, X1114, tZ_in_ga(T718, X1114))
U77_gaa(T714, T718, X1114, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, X1114, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, X723, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726, X1135) → U26_ga(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
pN3_in_gaa(T726, T728, X1135) → U78_gaa(T726, T728, X1135, tM_in_ga(T726, T728))
U78_gaa(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, X1135, eN2_in_ga(T728, X1135))
U79_gaa(T726, T728, X1135, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, X1135, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, X699, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736, X1157) → U28_ga(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
pN5_in_gaa(T736, T740, X1157) → U80_gaa(T736, T740, X1157, nE_in_ga(T736, T740))
U80_gaa(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, X1157, tN4_in_ga(T740, X1157))
U81_gaa(T736, T740, X1157, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, X1157, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, X656, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748, X1178) → U30_ga(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
pN7_in_gaa(T748, T750, X1178) → U82_gaa(T748, T750, X1178, tM_in_ga(T748, T750))
U82_gaa(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, X1178, eN6_in_ga(T750, X1178))
U83_gaa(T748, T750, X1178, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, X1178, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, X632, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758, X1200) → U32_ga(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
pN9_in_gaa(T758, T762, X1200) → U84_gaa(T758, T762, X1200, nE_in_ga(T758, T762))
U84_gaa(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, X1200, tN8_in_ga(T762, X1200))
U85_gaa(T758, T762, X1200, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, X1200, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, X589, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770, X1221) → U34_ga(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
pN10_in_gaa(T770, T772, X1221) → U86_gaa(T770, T772, X1221, tM_in_ga(T770, T772))
U86_gaa(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, X1221, eN_in_ga(T772, X1221))
U87_gaa(T770, T772, X1221, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, X1221, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, X565, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, T945, T943, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, T943, eA_in_ga(T945, T943))
U111_gaa(T941, T945, T943, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, T943, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, X480, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345, X498) → U6_ga(T345, X498, pH_in_gaa(T345, X497, X498))
pH_in_gaa(T345, T349, X498) → U60_gaa(T345, T349, X498, nE_in_ga(T345, T349))
U60_gaa(T345, T349, X498, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, X498, tG_in_ga(T349, X498))
U61_gaa(T345, T349, X498, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, X498, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, X437, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357, X519) → U8_ga(T357, X519, pJ_in_gaa(T357, X518, X519))
pJ_in_gaa(T357, T359, X519) → U62_gaa(T357, T359, X519, tM_in_ga(T357, T359))
U62_gaa(T357, T359, X519, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, X519, eI_in_ga(T359, X519))
U63_gaa(T357, T359, X519, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, X519, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, X413, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795, X1266) → U36_ga(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
pN12_in_gaa(T795, T799, X1266) → U90_gaa(T795, T799, X1266, nE_in_ga(T795, T799))
U90_gaa(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, X1266, tN11_in_ga(T799, X1266))
U91_gaa(T795, T799, X1266, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, X1266, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, X370, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807, X1287) → U38_ga(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
pN14_in_gaa(T807, T809, X1287) → U92_gaa(T807, T809, X1287, tM_in_ga(T807, T809))
U92_gaa(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, X1287, eN13_in_ga(T809, X1287))
U93_gaa(T807, T809, X1287, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, X1287, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, X346, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817, X1309) → U40_ga(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
pN16_in_gaa(T817, T821, X1309) → U94_gaa(T817, T821, X1309, nE_in_ga(T817, T821))
U94_gaa(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, X1309, tN15_in_ga(T821, X1309))
U95_gaa(T817, T821, X1309, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, X1309, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, X303, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829, X1330) → U42_ga(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
pN18_in_gaa(T829, T831, X1330) → U96_gaa(T829, T831, X1330, tM_in_ga(T829, T831))
U96_gaa(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, X1330, eN17_in_ga(T831, X1330))
U97_gaa(T829, T831, X1330, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, X1330, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, X279, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839, X1352) → U44_ga(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
pN20_in_gaa(T839, T843, X1352) → U98_gaa(T839, T843, X1352, nE_in_ga(T839, T843))
U98_gaa(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, X1352, tN19_in_ga(T843, X1352))
U99_gaa(T839, T843, X1352, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, X1352, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, X236, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851, X1373) → U46_ga(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
pN22_in_gaa(T851, T853, X1373) → U100_gaa(T851, T853, X1373, tM_in_ga(T851, T853))
U100_gaa(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, X1373, eN21_in_ga(T853, X1373))
U101_gaa(T851, T853, X1373, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, X1373, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, X212, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861, X1395) → U48_ga(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
pN24_in_gaa(T861, T865, X1395) → U102_gaa(T861, T865, X1395, nE_in_ga(T861, T865))
U102_gaa(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, X1395, tN23_in_ga(T865, X1395))
U103_gaa(T861, T865, X1395, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, X1395, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, X169, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873, X1416) → U50_ga(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
pN26_in_gaa(T873, T875, X1416) → U104_gaa(T873, T875, X1416, tM_in_ga(T873, T875))
U104_gaa(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, X1416, eN25_in_ga(T875, X1416))
U105_gaa(T873, T875, X1416, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, X1416, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, X145, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883, X1438) → U52_ga(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
pN28_in_gaa(T883, T887, X1438) → U106_gaa(T883, T887, X1438, nE_in_ga(T883, T887))
U106_gaa(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, X1438, tN27_in_ga(T887, X1438))
U107_gaa(T883, T887, X1438, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, X1438, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, X102, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895, X1459) → U54_ga(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
pN29_in_gaa(T895, T897, X1459) → U108_gaa(T895, T897, X1459, tM_in_ga(T895, T897))
U108_gaa(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, X1459, eF_in_ga(T897, X1459))
U109_gaa(T895, T897, X1459, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, X1459, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, X78, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, T68, T64, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, T64, tN30_in_ga(T68, T64))
tN30_in_ga(T916, T918) → U56_ga(T916, T918, nB_in_ga(T916, T918))
U56_ga(T916, T918, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929, T931) → U57_ga(T929, T931, pC_in_gaa(T929, X1496, T931))
U57_ga(T929, T931, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, T64, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, T64, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, T43, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, T24, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The argument filtering Pi contains the following mapping:
eA_in_ga(x1, x2)  =  eA_in_ga(x1)
U1_ga(x1, x2, x3)  =  U1_ga(x1, x3)
nB_in_ga(x1, x2)  =  nB_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
a  =  a
nB_out_ga(x1, x2)  =  nB_out_ga(x1, x2)
b  =  b
c  =  c
lbrace  =  lbrace
U55_ga(x1, x2, x3)  =  U55_ga(x1, x3)
U2_ga(x1, x2, x3)  =  U2_ga(x1, x3)
pC_in_gaa(x1, x2, x3)  =  pC_in_gaa(x1)
U58_gaa(x1, x2, x3, x4)  =  U58_gaa(x1, x4)
nE_in_ga(x1, x2)  =  nE_in_ga(x1)
star  =  star
nE_out_ga(x1, x2)  =  nE_out_ga(x1, x2)
U4_ga(x1, x2, x3)  =  U4_ga(x1, x3)
eF_in_ga(x1, x2)  =  eF_in_ga(x1)
U53_ga(x1, x2, x3)  =  U53_ga(x1, x3)
tN27_in_ga(x1, x2)  =  tN27_in_ga(x1)
rbrace  =  rbrace
tN27_out_ga(x1, x2)  =  tN27_out_ga(x1, x2)
U51_ga(x1, x2, x3)  =  U51_ga(x1, x3)
eN25_in_ga(x1, x2)  =  eN25_in_ga(x1)
U49_ga(x1, x2, x3)  =  U49_ga(x1, x3)
tN23_in_ga(x1, x2)  =  tN23_in_ga(x1)
tN23_out_ga(x1, x2)  =  tN23_out_ga(x1, x2)
U47_ga(x1, x2, x3)  =  U47_ga(x1, x3)
eN21_in_ga(x1, x2)  =  eN21_in_ga(x1)
U45_ga(x1, x2, x3)  =  U45_ga(x1, x3)
tN19_in_ga(x1, x2)  =  tN19_in_ga(x1)
tN19_out_ga(x1, x2)  =  tN19_out_ga(x1, x2)
U43_ga(x1, x2, x3)  =  U43_ga(x1, x3)
eN17_in_ga(x1, x2)  =  eN17_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x1, x3)
tN15_in_ga(x1, x2)  =  tN15_in_ga(x1)
tN15_out_ga(x1, x2)  =  tN15_out_ga(x1, x2)
U39_ga(x1, x2, x3)  =  U39_ga(x1, x3)
eN13_in_ga(x1, x2)  =  eN13_in_ga(x1)
U37_ga(x1, x2, x3)  =  U37_ga(x1, x3)
tN11_in_ga(x1, x2)  =  tN11_in_ga(x1)
tN11_out_ga(x1, x2)  =  tN11_out_ga(x1, x2)
U35_ga(x1, x2, x3)  =  U35_ga(x1, x3)
eI_in_ga(x1, x2)  =  eI_in_ga(x1)
U7_ga(x1, x2, x3)  =  U7_ga(x1, x3)
tG_in_ga(x1, x2)  =  tG_in_ga(x1)
tG_out_ga(x1, x2)  =  tG_out_ga(x1, x2)
U5_ga(x1, x2, x3)  =  U5_ga(x1, x3)
U3_ga(x1, x2, x3)  =  U3_ga(x1, x3)
pD_in_gaa(x1, x2, x3)  =  pD_in_gaa(x1)
U110_gaa(x1, x2, x3, x4)  =  U110_gaa(x1, x4)
tM_in_ga(x1, x2)  =  tM_in_ga(x1)
plus  =  plus
tM_out_ga(x1, x2)  =  tM_out_ga(x1, x2)
U11_ga(x1, x2, x3)  =  U11_ga(x1, x3)
eN_in_ga(x1, x2)  =  eN_in_ga(x1)
U33_ga(x1, x2, x3)  =  U33_ga(x1, x3)
tN8_in_ga(x1, x2)  =  tN8_in_ga(x1)
tN8_out_ga(x1, x2)  =  tN8_out_ga(x1, x2)
U31_ga(x1, x2, x3)  =  U31_ga(x1, x3)
eN6_in_ga(x1, x2)  =  eN6_in_ga(x1)
U29_ga(x1, x2, x3)  =  U29_ga(x1, x3)
tN4_in_ga(x1, x2)  =  tN4_in_ga(x1)
tN4_out_ga(x1, x2)  =  tN4_out_ga(x1, x2)
U27_ga(x1, x2, x3)  =  U27_ga(x1, x3)
eN2_in_ga(x1, x2)  =  eN2_in_ga(x1)
U25_ga(x1, x2, x3)  =  U25_ga(x1, x3)
tZ_in_ga(x1, x2)  =  tZ_in_ga(x1)
tZ_out_ga(x1, x2)  =  tZ_out_ga(x1, x2)
U23_ga(x1, x2, x3)  =  U23_ga(x1, x3)
eX_in_ga(x1, x2)  =  eX_in_ga(x1)
U21_ga(x1, x2, x3)  =  U21_ga(x1, x3)
tV_in_ga(x1, x2)  =  tV_in_ga(x1)
tV_out_ga(x1, x2)  =  tV_out_ga(x1, x2)
U19_ga(x1, x2, x3)  =  U19_ga(x1, x3)
eT_in_ga(x1, x2)  =  eT_in_ga(x1)
U17_ga(x1, x2, x3)  =  U17_ga(x1, x3)
tR_in_ga(x1, x2)  =  tR_in_ga(x1)
tR_out_ga(x1, x2)  =  tR_out_ga(x1, x2)
U15_ga(x1, x2, x3)  =  U15_ga(x1, x3)
eP_in_ga(x1, x2)  =  eP_in_ga(x1)
U13_ga(x1, x2, x3)  =  U13_ga(x1, x3)
tK_in_ga(x1, x2)  =  tK_in_ga(x1)
tK_out_ga(x1, x2)  =  tK_out_ga(x1, x2)
U9_ga(x1, x2, x3)  =  U9_ga(x1, x3)
eA_out_ga(x1, x2)  =  eA_out_ga(x1, x2)
U10_ga(x1, x2, x3)  =  U10_ga(x1, x3)
pL_in_gaa(x1, x2, x3)  =  pL_in_gaa(x1)
U64_gaa(x1, x2, x3, x4)  =  U64_gaa(x1, x4)
U65_gaa(x1, x2, x3, x4)  =  U65_gaa(x1, x2, x4)
pL_out_gaa(x1, x2, x3)  =  pL_out_gaa(x1, x2, x3)
eP_out_ga(x1, x2)  =  eP_out_ga(x1, x2)
U14_ga(x1, x2, x3)  =  U14_ga(x1, x3)
pQ_in_gaa(x1, x2, x3)  =  pQ_in_gaa(x1)
U66_gaa(x1, x2, x3, x4)  =  U66_gaa(x1, x4)
U12_ga(x1, x2, x3)  =  U12_ga(x1, x3)
pO_in_gaa(x1, x2, x3)  =  pO_in_gaa(x1)
U88_gaa(x1, x2, x3, x4)  =  U88_gaa(x1, x4)
U89_gaa(x1, x2, x3, x4)  =  U89_gaa(x1, x2, x4)
pO_out_gaa(x1, x2, x3)  =  pO_out_gaa(x1, x2, x3)
U67_gaa(x1, x2, x3, x4)  =  U67_gaa(x1, x2, x4)
pQ_out_gaa(x1, x2, x3)  =  pQ_out_gaa(x1, x2, x3)
U16_ga(x1, x2, x3)  =  U16_ga(x1, x3)
pS_in_gaa(x1, x2, x3)  =  pS_in_gaa(x1)
U68_gaa(x1, x2, x3, x4)  =  U68_gaa(x1, x4)
U69_gaa(x1, x2, x3, x4)  =  U69_gaa(x1, x2, x4)
pS_out_gaa(x1, x2, x3)  =  pS_out_gaa(x1, x2, x3)
eT_out_ga(x1, x2)  =  eT_out_ga(x1, x2)
U18_ga(x1, x2, x3)  =  U18_ga(x1, x3)
pU_in_gaa(x1, x2, x3)  =  pU_in_gaa(x1)
U70_gaa(x1, x2, x3, x4)  =  U70_gaa(x1, x4)
U71_gaa(x1, x2, x3, x4)  =  U71_gaa(x1, x2, x4)
pU_out_gaa(x1, x2, x3)  =  pU_out_gaa(x1, x2, x3)
U20_ga(x1, x2, x3)  =  U20_ga(x1, x3)
pW_in_gaa(x1, x2, x3)  =  pW_in_gaa(x1)
U72_gaa(x1, x2, x3, x4)  =  U72_gaa(x1, x4)
U73_gaa(x1, x2, x3, x4)  =  U73_gaa(x1, x2, x4)
pW_out_gaa(x1, x2, x3)  =  pW_out_gaa(x1, x2, x3)
eX_out_ga(x1, x2)  =  eX_out_ga(x1, x2)
U22_ga(x1, x2, x3)  =  U22_ga(x1, x3)
pY_in_gaa(x1, x2, x3)  =  pY_in_gaa(x1)
U74_gaa(x1, x2, x3, x4)  =  U74_gaa(x1, x4)
U75_gaa(x1, x2, x3, x4)  =  U75_gaa(x1, x2, x4)
pY_out_gaa(x1, x2, x3)  =  pY_out_gaa(x1, x2, x3)
U24_ga(x1, x2, x3)  =  U24_ga(x1, x3)
pN1_in_gaa(x1, x2, x3)  =  pN1_in_gaa(x1)
U76_gaa(x1, x2, x3, x4)  =  U76_gaa(x1, x4)
U77_gaa(x1, x2, x3, x4)  =  U77_gaa(x1, x2, x4)
pN1_out_gaa(x1, x2, x3)  =  pN1_out_gaa(x1, x2, x3)
eN2_out_ga(x1, x2)  =  eN2_out_ga(x1, x2)
U26_ga(x1, x2, x3)  =  U26_ga(x1, x3)
pN3_in_gaa(x1, x2, x3)  =  pN3_in_gaa(x1)
U78_gaa(x1, x2, x3, x4)  =  U78_gaa(x1, x4)
U79_gaa(x1, x2, x3, x4)  =  U79_gaa(x1, x2, x4)
pN3_out_gaa(x1, x2, x3)  =  pN3_out_gaa(x1, x2, x3)
U28_ga(x1, x2, x3)  =  U28_ga(x1, x3)
pN5_in_gaa(x1, x2, x3)  =  pN5_in_gaa(x1)
U80_gaa(x1, x2, x3, x4)  =  U80_gaa(x1, x4)
U81_gaa(x1, x2, x3, x4)  =  U81_gaa(x1, x2, x4)
pN5_out_gaa(x1, x2, x3)  =  pN5_out_gaa(x1, x2, x3)
eN6_out_ga(x1, x2)  =  eN6_out_ga(x1, x2)
U30_ga(x1, x2, x3)  =  U30_ga(x1, x3)
pN7_in_gaa(x1, x2, x3)  =  pN7_in_gaa(x1)
U82_gaa(x1, x2, x3, x4)  =  U82_gaa(x1, x4)
U83_gaa(x1, x2, x3, x4)  =  U83_gaa(x1, x2, x4)
pN7_out_gaa(x1, x2, x3)  =  pN7_out_gaa(x1, x2, x3)
U32_ga(x1, x2, x3)  =  U32_ga(x1, x3)
pN9_in_gaa(x1, x2, x3)  =  pN9_in_gaa(x1)
U84_gaa(x1, x2, x3, x4)  =  U84_gaa(x1, x4)
U85_gaa(x1, x2, x3, x4)  =  U85_gaa(x1, x2, x4)
pN9_out_gaa(x1, x2, x3)  =  pN9_out_gaa(x1, x2, x3)
eN_out_ga(x1, x2)  =  eN_out_ga(x1, x2)
U34_ga(x1, x2, x3)  =  U34_ga(x1, x3)
pN10_in_gaa(x1, x2, x3)  =  pN10_in_gaa(x1)
U86_gaa(x1, x2, x3, x4)  =  U86_gaa(x1, x4)
U87_gaa(x1, x2, x3, x4)  =  U87_gaa(x1, x2, x4)
pN10_out_gaa(x1, x2, x3)  =  pN10_out_gaa(x1, x2, x3)
U111_gaa(x1, x2, x3, x4)  =  U111_gaa(x1, x2, x4)
pD_out_gaa(x1, x2, x3)  =  pD_out_gaa(x1, x2, x3)
U6_ga(x1, x2, x3)  =  U6_ga(x1, x3)
pH_in_gaa(x1, x2, x3)  =  pH_in_gaa(x1)
U60_gaa(x1, x2, x3, x4)  =  U60_gaa(x1, x4)
U61_gaa(x1, x2, x3, x4)  =  U61_gaa(x1, x2, x4)
pH_out_gaa(x1, x2, x3)  =  pH_out_gaa(x1, x2, x3)
eI_out_ga(x1, x2)  =  eI_out_ga(x1, x2)
U8_ga(x1, x2, x3)  =  U8_ga(x1, x3)
pJ_in_gaa(x1, x2, x3)  =  pJ_in_gaa(x1)
U62_gaa(x1, x2, x3, x4)  =  U62_gaa(x1, x4)
U63_gaa(x1, x2, x3, x4)  =  U63_gaa(x1, x2, x4)
pJ_out_gaa(x1, x2, x3)  =  pJ_out_gaa(x1, x2, x3)
U36_ga(x1, x2, x3)  =  U36_ga(x1, x3)
pN12_in_gaa(x1, x2, x3)  =  pN12_in_gaa(x1)
U90_gaa(x1, x2, x3, x4)  =  U90_gaa(x1, x4)
U91_gaa(x1, x2, x3, x4)  =  U91_gaa(x1, x2, x4)
pN12_out_gaa(x1, x2, x3)  =  pN12_out_gaa(x1, x2, x3)
eN13_out_ga(x1, x2)  =  eN13_out_ga(x1, x2)
U38_ga(x1, x2, x3)  =  U38_ga(x1, x3)
pN14_in_gaa(x1, x2, x3)  =  pN14_in_gaa(x1)
U92_gaa(x1, x2, x3, x4)  =  U92_gaa(x1, x4)
U93_gaa(x1, x2, x3, x4)  =  U93_gaa(x1, x2, x4)
pN14_out_gaa(x1, x2, x3)  =  pN14_out_gaa(x1, x2, x3)
U40_ga(x1, x2, x3)  =  U40_ga(x1, x3)
pN16_in_gaa(x1, x2, x3)  =  pN16_in_gaa(x1)
U94_gaa(x1, x2, x3, x4)  =  U94_gaa(x1, x4)
U95_gaa(x1, x2, x3, x4)  =  U95_gaa(x1, x2, x4)
pN16_out_gaa(x1, x2, x3)  =  pN16_out_gaa(x1, x2, x3)
eN17_out_ga(x1, x2)  =  eN17_out_ga(x1, x2)
U42_ga(x1, x2, x3)  =  U42_ga(x1, x3)
pN18_in_gaa(x1, x2, x3)  =  pN18_in_gaa(x1)
U96_gaa(x1, x2, x3, x4)  =  U96_gaa(x1, x4)
U97_gaa(x1, x2, x3, x4)  =  U97_gaa(x1, x2, x4)
pN18_out_gaa(x1, x2, x3)  =  pN18_out_gaa(x1, x2, x3)
U44_ga(x1, x2, x3)  =  U44_ga(x1, x3)
pN20_in_gaa(x1, x2, x3)  =  pN20_in_gaa(x1)
U98_gaa(x1, x2, x3, x4)  =  U98_gaa(x1, x4)
U99_gaa(x1, x2, x3, x4)  =  U99_gaa(x1, x2, x4)
pN20_out_gaa(x1, x2, x3)  =  pN20_out_gaa(x1, x2, x3)
eN21_out_ga(x1, x2)  =  eN21_out_ga(x1, x2)
U46_ga(x1, x2, x3)  =  U46_ga(x1, x3)
pN22_in_gaa(x1, x2, x3)  =  pN22_in_gaa(x1)
U100_gaa(x1, x2, x3, x4)  =  U100_gaa(x1, x4)
U101_gaa(x1, x2, x3, x4)  =  U101_gaa(x1, x2, x4)
pN22_out_gaa(x1, x2, x3)  =  pN22_out_gaa(x1, x2, x3)
U48_ga(x1, x2, x3)  =  U48_ga(x1, x3)
pN24_in_gaa(x1, x2, x3)  =  pN24_in_gaa(x1)
U102_gaa(x1, x2, x3, x4)  =  U102_gaa(x1, x4)
U103_gaa(x1, x2, x3, x4)  =  U103_gaa(x1, x2, x4)
pN24_out_gaa(x1, x2, x3)  =  pN24_out_gaa(x1, x2, x3)
eN25_out_ga(x1, x2)  =  eN25_out_ga(x1, x2)
U50_ga(x1, x2, x3)  =  U50_ga(x1, x3)
pN26_in_gaa(x1, x2, x3)  =  pN26_in_gaa(x1)
U104_gaa(x1, x2, x3, x4)  =  U104_gaa(x1, x4)
U105_gaa(x1, x2, x3, x4)  =  U105_gaa(x1, x2, x4)
pN26_out_gaa(x1, x2, x3)  =  pN26_out_gaa(x1, x2, x3)
U52_ga(x1, x2, x3)  =  U52_ga(x1, x3)
pN28_in_gaa(x1, x2, x3)  =  pN28_in_gaa(x1)
U106_gaa(x1, x2, x3, x4)  =  U106_gaa(x1, x4)
U107_gaa(x1, x2, x3, x4)  =  U107_gaa(x1, x2, x4)
pN28_out_gaa(x1, x2, x3)  =  pN28_out_gaa(x1, x2, x3)
eF_out_ga(x1, x2)  =  eF_out_ga(x1, x2)
U54_ga(x1, x2, x3)  =  U54_ga(x1, x3)
pN29_in_gaa(x1, x2, x3)  =  pN29_in_gaa(x1)
U108_gaa(x1, x2, x3, x4)  =  U108_gaa(x1, x4)
U109_gaa(x1, x2, x3, x4)  =  U109_gaa(x1, x2, x4)
pN29_out_gaa(x1, x2, x3)  =  pN29_out_gaa(x1, x2, x3)
U59_gaa(x1, x2, x3, x4)  =  U59_gaa(x1, x2, x4)
tN30_in_ga(x1, x2)  =  tN30_in_ga(x1)
U56_ga(x1, x2, x3)  =  U56_ga(x1, x3)
tN30_out_ga(x1, x2)  =  tN30_out_ga(x1, x2)
U57_ga(x1, x2, x3)  =  U57_ga(x1, x3)
pC_out_gaa(x1, x2, x3)  =  pC_out_gaa(x1, x2, x3)
EA_IN_GA(x1, x2)  =  EA_IN_GA(x1)
U1_GA(x1, x2, x3)  =  U1_GA(x1, x3)
NB_IN_GA(x1, x2)  =  NB_IN_GA(x1)
U55_GA(x1, x2, x3)  =  U55_GA(x1, x3)
U2_GA(x1, x2, x3)  =  U2_GA(x1, x3)
PC_IN_GAA(x1, x2, x3)  =  PC_IN_GAA(x1)
U58_GAA(x1, x2, x3, x4)  =  U58_GAA(x1, x4)
NE_IN_GA(x1, x2)  =  NE_IN_GA(x1)
U4_GA(x1, x2, x3)  =  U4_GA(x1, x3)
EF_IN_GA(x1, x2)  =  EF_IN_GA(x1)
U53_GA(x1, x2, x3)  =  U53_GA(x1, x3)
TN27_IN_GA(x1, x2)  =  TN27_IN_GA(x1)
U51_GA(x1, x2, x3)  =  U51_GA(x1, x3)
EN25_IN_GA(x1, x2)  =  EN25_IN_GA(x1)
U49_GA(x1, x2, x3)  =  U49_GA(x1, x3)
TN23_IN_GA(x1, x2)  =  TN23_IN_GA(x1)
U47_GA(x1, x2, x3)  =  U47_GA(x1, x3)
EN21_IN_GA(x1, x2)  =  EN21_IN_GA(x1)
U45_GA(x1, x2, x3)  =  U45_GA(x1, x3)
TN19_IN_GA(x1, x2)  =  TN19_IN_GA(x1)
U43_GA(x1, x2, x3)  =  U43_GA(x1, x3)
EN17_IN_GA(x1, x2)  =  EN17_IN_GA(x1)
U41_GA(x1, x2, x3)  =  U41_GA(x1, x3)
TN15_IN_GA(x1, x2)  =  TN15_IN_GA(x1)
U39_GA(x1, x2, x3)  =  U39_GA(x1, x3)
EN13_IN_GA(x1, x2)  =  EN13_IN_GA(x1)
U37_GA(x1, x2, x3)  =  U37_GA(x1, x3)
TN11_IN_GA(x1, x2)  =  TN11_IN_GA(x1)
U35_GA(x1, x2, x3)  =  U35_GA(x1, x3)
EI_IN_GA(x1, x2)  =  EI_IN_GA(x1)
U7_GA(x1, x2, x3)  =  U7_GA(x1, x3)
TG_IN_GA(x1, x2)  =  TG_IN_GA(x1)
U5_GA(x1, x2, x3)  =  U5_GA(x1, x3)
U3_GA(x1, x2, x3)  =  U3_GA(x1, x3)
PD_IN_GAA(x1, x2, x3)  =  PD_IN_GAA(x1)
U110_GAA(x1, x2, x3, x4)  =  U110_GAA(x1, x4)
TM_IN_GA(x1, x2)  =  TM_IN_GA(x1)
U11_GA(x1, x2, x3)  =  U11_GA(x1, x3)
EN_IN_GA(x1, x2)  =  EN_IN_GA(x1)
U33_GA(x1, x2, x3)  =  U33_GA(x1, x3)
TN8_IN_GA(x1, x2)  =  TN8_IN_GA(x1)
U31_GA(x1, x2, x3)  =  U31_GA(x1, x3)
EN6_IN_GA(x1, x2)  =  EN6_IN_GA(x1)
U29_GA(x1, x2, x3)  =  U29_GA(x1, x3)
TN4_IN_GA(x1, x2)  =  TN4_IN_GA(x1)
U27_GA(x1, x2, x3)  =  U27_GA(x1, x3)
EN2_IN_GA(x1, x2)  =  EN2_IN_GA(x1)
U25_GA(x1, x2, x3)  =  U25_GA(x1, x3)
TZ_IN_GA(x1, x2)  =  TZ_IN_GA(x1)
U23_GA(x1, x2, x3)  =  U23_GA(x1, x3)
EX_IN_GA(x1, x2)  =  EX_IN_GA(x1)
U21_GA(x1, x2, x3)  =  U21_GA(x1, x3)
TV_IN_GA(x1, x2)  =  TV_IN_GA(x1)
U19_GA(x1, x2, x3)  =  U19_GA(x1, x3)
ET_IN_GA(x1, x2)  =  ET_IN_GA(x1)
U17_GA(x1, x2, x3)  =  U17_GA(x1, x3)
TR_IN_GA(x1, x2)  =  TR_IN_GA(x1)
U15_GA(x1, x2, x3)  =  U15_GA(x1, x3)
EP_IN_GA(x1, x2)  =  EP_IN_GA(x1)
U13_GA(x1, x2, x3)  =  U13_GA(x1, x3)
TK_IN_GA(x1, x2)  =  TK_IN_GA(x1)
U9_GA(x1, x2, x3)  =  U9_GA(x1, x3)
U10_GA(x1, x2, x3)  =  U10_GA(x1, x3)
PL_IN_GAA(x1, x2, x3)  =  PL_IN_GAA(x1)
U64_GAA(x1, x2, x3, x4)  =  U64_GAA(x1, x4)
U65_GAA(x1, x2, x3, x4)  =  U65_GAA(x1, x2, x4)
U14_GA(x1, x2, x3)  =  U14_GA(x1, x3)
PQ_IN_GAA(x1, x2, x3)  =  PQ_IN_GAA(x1)
U66_GAA(x1, x2, x3, x4)  =  U66_GAA(x1, x4)
U12_GA(x1, x2, x3)  =  U12_GA(x1, x3)
PO_IN_GAA(x1, x2, x3)  =  PO_IN_GAA(x1)
U88_GAA(x1, x2, x3, x4)  =  U88_GAA(x1, x4)
U89_GAA(x1, x2, x3, x4)  =  U89_GAA(x1, x2, x4)
U67_GAA(x1, x2, x3, x4)  =  U67_GAA(x1, x2, x4)
U16_GA(x1, x2, x3)  =  U16_GA(x1, x3)
PS_IN_GAA(x1, x2, x3)  =  PS_IN_GAA(x1)
U68_GAA(x1, x2, x3, x4)  =  U68_GAA(x1, x4)
U69_GAA(x1, x2, x3, x4)  =  U69_GAA(x1, x2, x4)
U18_GA(x1, x2, x3)  =  U18_GA(x1, x3)
PU_IN_GAA(x1, x2, x3)  =  PU_IN_GAA(x1)
U70_GAA(x1, x2, x3, x4)  =  U70_GAA(x1, x4)
U71_GAA(x1, x2, x3, x4)  =  U71_GAA(x1, x2, x4)
U20_GA(x1, x2, x3)  =  U20_GA(x1, x3)
PW_IN_GAA(x1, x2, x3)  =  PW_IN_GAA(x1)
U72_GAA(x1, x2, x3, x4)  =  U72_GAA(x1, x4)
U73_GAA(x1, x2, x3, x4)  =  U73_GAA(x1, x2, x4)
U22_GA(x1, x2, x3)  =  U22_GA(x1, x3)
PY_IN_GAA(x1, x2, x3)  =  PY_IN_GAA(x1)
U74_GAA(x1, x2, x3, x4)  =  U74_GAA(x1, x4)
U75_GAA(x1, x2, x3, x4)  =  U75_GAA(x1, x2, x4)
U24_GA(x1, x2, x3)  =  U24_GA(x1, x3)
PN1_IN_GAA(x1, x2, x3)  =  PN1_IN_GAA(x1)
U76_GAA(x1, x2, x3, x4)  =  U76_GAA(x1, x4)
U77_GAA(x1, x2, x3, x4)  =  U77_GAA(x1, x2, x4)
U26_GA(x1, x2, x3)  =  U26_GA(x1, x3)
PN3_IN_GAA(x1, x2, x3)  =  PN3_IN_GAA(x1)
U78_GAA(x1, x2, x3, x4)  =  U78_GAA(x1, x4)
U79_GAA(x1, x2, x3, x4)  =  U79_GAA(x1, x2, x4)
U28_GA(x1, x2, x3)  =  U28_GA(x1, x3)
PN5_IN_GAA(x1, x2, x3)  =  PN5_IN_GAA(x1)
U80_GAA(x1, x2, x3, x4)  =  U80_GAA(x1, x4)
U81_GAA(x1, x2, x3, x4)  =  U81_GAA(x1, x2, x4)
U30_GA(x1, x2, x3)  =  U30_GA(x1, x3)
PN7_IN_GAA(x1, x2, x3)  =  PN7_IN_GAA(x1)
U82_GAA(x1, x2, x3, x4)  =  U82_GAA(x1, x4)
U83_GAA(x1, x2, x3, x4)  =  U83_GAA(x1, x2, x4)
U32_GA(x1, x2, x3)  =  U32_GA(x1, x3)
PN9_IN_GAA(x1, x2, x3)  =  PN9_IN_GAA(x1)
U84_GAA(x1, x2, x3, x4)  =  U84_GAA(x1, x4)
U85_GAA(x1, x2, x3, x4)  =  U85_GAA(x1, x2, x4)
U34_GA(x1, x2, x3)  =  U34_GA(x1, x3)
PN10_IN_GAA(x1, x2, x3)  =  PN10_IN_GAA(x1)
U86_GAA(x1, x2, x3, x4)  =  U86_GAA(x1, x4)
U87_GAA(x1, x2, x3, x4)  =  U87_GAA(x1, x2, x4)
U111_GAA(x1, x2, x3, x4)  =  U111_GAA(x1, x2, x4)
U6_GA(x1, x2, x3)  =  U6_GA(x1, x3)
PH_IN_GAA(x1, x2, x3)  =  PH_IN_GAA(x1)
U60_GAA(x1, x2, x3, x4)  =  U60_GAA(x1, x4)
U61_GAA(x1, x2, x3, x4)  =  U61_GAA(x1, x2, x4)
U8_GA(x1, x2, x3)  =  U8_GA(x1, x3)
PJ_IN_GAA(x1, x2, x3)  =  PJ_IN_GAA(x1)
U62_GAA(x1, x2, x3, x4)  =  U62_GAA(x1, x4)
U63_GAA(x1, x2, x3, x4)  =  U63_GAA(x1, x2, x4)
U36_GA(x1, x2, x3)  =  U36_GA(x1, x3)
PN12_IN_GAA(x1, x2, x3)  =  PN12_IN_GAA(x1)
U90_GAA(x1, x2, x3, x4)  =  U90_GAA(x1, x4)
U91_GAA(x1, x2, x3, x4)  =  U91_GAA(x1, x2, x4)
U38_GA(x1, x2, x3)  =  U38_GA(x1, x3)
PN14_IN_GAA(x1, x2, x3)  =  PN14_IN_GAA(x1)
U92_GAA(x1, x2, x3, x4)  =  U92_GAA(x1, x4)
U93_GAA(x1, x2, x3, x4)  =  U93_GAA(x1, x2, x4)
U40_GA(x1, x2, x3)  =  U40_GA(x1, x3)
PN16_IN_GAA(x1, x2, x3)  =  PN16_IN_GAA(x1)
U94_GAA(x1, x2, x3, x4)  =  U94_GAA(x1, x4)
U95_GAA(x1, x2, x3, x4)  =  U95_GAA(x1, x2, x4)
U42_GA(x1, x2, x3)  =  U42_GA(x1, x3)
PN18_IN_GAA(x1, x2, x3)  =  PN18_IN_GAA(x1)
U96_GAA(x1, x2, x3, x4)  =  U96_GAA(x1, x4)
U97_GAA(x1, x2, x3, x4)  =  U97_GAA(x1, x2, x4)
U44_GA(x1, x2, x3)  =  U44_GA(x1, x3)
PN20_IN_GAA(x1, x2, x3)  =  PN20_IN_GAA(x1)
U98_GAA(x1, x2, x3, x4)  =  U98_GAA(x1, x4)
U99_GAA(x1, x2, x3, x4)  =  U99_GAA(x1, x2, x4)
U46_GA(x1, x2, x3)  =  U46_GA(x1, x3)
PN22_IN_GAA(x1, x2, x3)  =  PN22_IN_GAA(x1)
U100_GAA(x1, x2, x3, x4)  =  U100_GAA(x1, x4)
U101_GAA(x1, x2, x3, x4)  =  U101_GAA(x1, x2, x4)
U48_GA(x1, x2, x3)  =  U48_GA(x1, x3)
PN24_IN_GAA(x1, x2, x3)  =  PN24_IN_GAA(x1)
U102_GAA(x1, x2, x3, x4)  =  U102_GAA(x1, x4)
U103_GAA(x1, x2, x3, x4)  =  U103_GAA(x1, x2, x4)
U50_GA(x1, x2, x3)  =  U50_GA(x1, x3)
PN26_IN_GAA(x1, x2, x3)  =  PN26_IN_GAA(x1)
U104_GAA(x1, x2, x3, x4)  =  U104_GAA(x1, x4)
U105_GAA(x1, x2, x3, x4)  =  U105_GAA(x1, x2, x4)
U52_GA(x1, x2, x3)  =  U52_GA(x1, x3)
PN28_IN_GAA(x1, x2, x3)  =  PN28_IN_GAA(x1)
U106_GAA(x1, x2, x3, x4)  =  U106_GAA(x1, x4)
U107_GAA(x1, x2, x3, x4)  =  U107_GAA(x1, x2, x4)
U54_GA(x1, x2, x3)  =  U54_GA(x1, x3)
PN29_IN_GAA(x1, x2, x3)  =  PN29_IN_GAA(x1)
U108_GAA(x1, x2, x3, x4)  =  U108_GAA(x1, x4)
U109_GAA(x1, x2, x3, x4)  =  U109_GAA(x1, x2, x4)
U59_GAA(x1, x2, x3, x4)  =  U59_GAA(x1, x2, x4)
TN30_IN_GA(x1, x2)  =  TN30_IN_GA(x1)
U56_GA(x1, x2, x3)  =  U56_GA(x1, x3)
U57_GA(x1, x2, x3)  =  U57_GA(x1, x3)

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

(4) Obligation:

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

EA_IN_GA(T22, T24) → U1_GA(T22, T24, nB_in_ga(T22, T24))
EA_IN_GA(T22, T24) → NB_IN_GA(T22, T24)
NB_IN_GA(.(lbrace, T41), T43) → U55_GA(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
NB_IN_GA(.(lbrace, T41), T43) → EA_IN_GA(T41, .(rbrace, T43))
EA_IN_GA(T62, T64) → U2_GA(T62, T64, pC_in_gaa(T62, X55, T64))
EA_IN_GA(T62, T64) → PC_IN_GAA(T62, X55, T64)
PC_IN_GAA(T62, T68, T64) → U58_GAA(T62, T68, T64, nE_in_ga(T62, T68))
PC_IN_GAA(T62, T68, T64) → NE_IN_GA(T62, T68)
NE_IN_GA(.(lbrace, T89), X78) → U4_GA(T89, X78, eF_in_ga(T89, X78))
NE_IN_GA(.(lbrace, T89), X78) → EF_IN_GA(T89, X78)
EF_IN_GA(T97, X102) → U53_GA(T97, X102, tN27_in_ga(T97, X102))
EF_IN_GA(T97, X102) → TN27_IN_GA(T97, X102)
TN27_IN_GA(.(lbrace, T130), X145) → U51_GA(T130, X145, eN25_in_ga(T130, X145))
TN27_IN_GA(.(lbrace, T130), X145) → EN25_IN_GA(T130, X145)
EN25_IN_GA(T138, X169) → U49_GA(T138, X169, tN23_in_ga(T138, X169))
EN25_IN_GA(T138, X169) → TN23_IN_GA(T138, X169)
TN23_IN_GA(.(lbrace, T171), X212) → U47_GA(T171, X212, eN21_in_ga(T171, X212))
TN23_IN_GA(.(lbrace, T171), X212) → EN21_IN_GA(T171, X212)
EN21_IN_GA(T179, X236) → U45_GA(T179, X236, tN19_in_ga(T179, X236))
EN21_IN_GA(T179, X236) → TN19_IN_GA(T179, X236)
TN19_IN_GA(.(lbrace, T212), X279) → U43_GA(T212, X279, eN17_in_ga(T212, X279))
TN19_IN_GA(.(lbrace, T212), X279) → EN17_IN_GA(T212, X279)
EN17_IN_GA(T220, X303) → U41_GA(T220, X303, tN15_in_ga(T220, X303))
EN17_IN_GA(T220, X303) → TN15_IN_GA(T220, X303)
TN15_IN_GA(.(lbrace, T253), X346) → U39_GA(T253, X346, eN13_in_ga(T253, X346))
TN15_IN_GA(.(lbrace, T253), X346) → EN13_IN_GA(T253, X346)
EN13_IN_GA(T261, X370) → U37_GA(T261, X370, tN11_in_ga(T261, X370))
EN13_IN_GA(T261, X370) → TN11_IN_GA(T261, X370)
TN11_IN_GA(.(lbrace, T294), X413) → U35_GA(T294, X413, eI_in_ga(T294, X413))
TN11_IN_GA(.(lbrace, T294), X413) → EI_IN_GA(T294, X413)
EI_IN_GA(T302, X437) → U7_GA(T302, X437, tG_in_ga(T302, X437))
EI_IN_GA(T302, X437) → TG_IN_GA(T302, X437)
TG_IN_GA(.(lbrace, T335), X480) → U5_GA(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
TG_IN_GA(.(lbrace, T335), X480) → EA_IN_GA(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))
EA_IN_GA(T941, T943) → U3_GA(T941, T943, pD_in_gaa(T941, X1509, T943))
EA_IN_GA(T941, T943) → PD_IN_GAA(T941, X1509, T943)
PD_IN_GAA(T941, T945, T943) → U110_GAA(T941, T945, T943, tM_in_ga(T941, T945))
PD_IN_GAA(T941, T945, T943) → TM_IN_GA(T941, T945)
TM_IN_GA(.(lbrace, T392), X565) → U11_GA(T392, X565, eN_in_ga(T392, X565))
TM_IN_GA(.(lbrace, T392), X565) → EN_IN_GA(T392, X565)
EN_IN_GA(T400, X589) → U33_GA(T400, X589, tN8_in_ga(T400, X589))
EN_IN_GA(T400, X589) → TN8_IN_GA(T400, X589)
TN8_IN_GA(.(lbrace, T433), X632) → U31_GA(T433, X632, eN6_in_ga(T433, X632))
TN8_IN_GA(.(lbrace, T433), X632) → EN6_IN_GA(T433, X632)
EN6_IN_GA(T441, X656) → U29_GA(T441, X656, tN4_in_ga(T441, X656))
EN6_IN_GA(T441, X656) → TN4_IN_GA(T441, X656)
TN4_IN_GA(.(lbrace, T474), X699) → U27_GA(T474, X699, eN2_in_ga(T474, X699))
TN4_IN_GA(.(lbrace, T474), X699) → EN2_IN_GA(T474, X699)
EN2_IN_GA(T482, X723) → U25_GA(T482, X723, tZ_in_ga(T482, X723))
EN2_IN_GA(T482, X723) → TZ_IN_GA(T482, X723)
TZ_IN_GA(.(lbrace, T515), X766) → U23_GA(T515, X766, eX_in_ga(T515, X766))
TZ_IN_GA(.(lbrace, T515), X766) → EX_IN_GA(T515, X766)
EX_IN_GA(T523, X790) → U21_GA(T523, X790, tV_in_ga(T523, X790))
EX_IN_GA(T523, X790) → TV_IN_GA(T523, X790)
TV_IN_GA(.(lbrace, T556), X833) → U19_GA(T556, X833, eT_in_ga(T556, X833))
TV_IN_GA(.(lbrace, T556), X833) → ET_IN_GA(T556, X833)
ET_IN_GA(T564, X857) → U17_GA(T564, X857, tR_in_ga(T564, X857))
ET_IN_GA(T564, X857) → TR_IN_GA(T564, X857)
TR_IN_GA(.(lbrace, T597), X900) → U15_GA(T597, X900, eP_in_ga(T597, X900))
TR_IN_GA(.(lbrace, T597), X900) → EP_IN_GA(T597, X900)
EP_IN_GA(T605, X924) → U13_GA(T605, X924, tK_in_ga(T605, X924))
EP_IN_GA(T605, X924) → TK_IN_GA(T605, X924)
TK_IN_GA(.(lbrace, T638), X967) → U9_GA(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
TK_IN_GA(.(lbrace, T638), X967) → EA_IN_GA(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))
TK_IN_GA(T648, X985) → U10_GA(T648, X985, pL_in_gaa(T648, X984, X985))
TK_IN_GA(T648, X985) → PL_IN_GAA(T648, X984, X985)
PL_IN_GAA(T648, T652, X985) → U64_GAA(T648, T652, X985, nE_in_ga(T648, T652))
PL_IN_GAA(T648, T652, X985) → NE_IN_GA(T648, T652)
U64_GAA(T648, T652, X985, nE_out_ga(T648, T652)) → U65_GAA(T648, T652, X985, tK_in_ga(T652, X985))
U64_GAA(T648, T652, X985, nE_out_ga(T648, T652)) → TK_IN_GA(T652, X985)
EP_IN_GA(T660, X1006) → U14_GA(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
EP_IN_GA(T660, X1006) → PQ_IN_GAA(T660, X1005, X1006)
PQ_IN_GAA(T660, T662, X1006) → U66_GAA(T660, T662, X1006, tM_in_ga(T660, T662))
PQ_IN_GAA(T660, T662, X1006) → TM_IN_GA(T660, T662)
TM_IN_GA(T780, X1243) → U12_GA(T780, X1243, pO_in_gaa(T780, X1242, X1243))
TM_IN_GA(T780, X1243) → PO_IN_GAA(T780, X1242, X1243)
PO_IN_GAA(T780, T784, X1243) → U88_GAA(T780, T784, X1243, nE_in_ga(T780, T784))
PO_IN_GAA(T780, T784, X1243) → NE_IN_GA(T780, T784)
U88_GAA(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_GAA(T780, T784, X1243, tM_in_ga(T784, X1243))
U88_GAA(T780, T784, X1243, nE_out_ga(T780, T784)) → TM_IN_GA(T784, X1243)
U66_GAA(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_GAA(T660, T662, X1006, eP_in_ga(T662, X1006))
U66_GAA(T660, T662, X1006, tM_out_ga(T660, T662)) → EP_IN_GA(T662, X1006)
TR_IN_GA(T670, X1028) → U16_GA(T670, X1028, pS_in_gaa(T670, X1027, X1028))
TR_IN_GA(T670, X1028) → PS_IN_GAA(T670, X1027, X1028)
PS_IN_GAA(T670, T674, X1028) → U68_GAA(T670, T674, X1028, nE_in_ga(T670, T674))
PS_IN_GAA(T670, T674, X1028) → NE_IN_GA(T670, T674)
U68_GAA(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_GAA(T670, T674, X1028, tR_in_ga(T674, X1028))
U68_GAA(T670, T674, X1028, nE_out_ga(T670, T674)) → TR_IN_GA(T674, X1028)
ET_IN_GA(T682, X1049) → U18_GA(T682, X1049, pU_in_gaa(T682, X1048, X1049))
ET_IN_GA(T682, X1049) → PU_IN_GAA(T682, X1048, X1049)
PU_IN_GAA(T682, T684, X1049) → U70_GAA(T682, T684, X1049, tM_in_ga(T682, T684))
PU_IN_GAA(T682, T684, X1049) → TM_IN_GA(T682, T684)
U70_GAA(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_GAA(T682, T684, X1049, eT_in_ga(T684, X1049))
U70_GAA(T682, T684, X1049, tM_out_ga(T682, T684)) → ET_IN_GA(T684, X1049)
TV_IN_GA(T692, X1071) → U20_GA(T692, X1071, pW_in_gaa(T692, X1070, X1071))
TV_IN_GA(T692, X1071) → PW_IN_GAA(T692, X1070, X1071)
PW_IN_GAA(T692, T696, X1071) → U72_GAA(T692, T696, X1071, nE_in_ga(T692, T696))
PW_IN_GAA(T692, T696, X1071) → NE_IN_GA(T692, T696)
U72_GAA(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_GAA(T692, T696, X1071, tV_in_ga(T696, X1071))
U72_GAA(T692, T696, X1071, nE_out_ga(T692, T696)) → TV_IN_GA(T696, X1071)
EX_IN_GA(T704, X1092) → U22_GA(T704, X1092, pY_in_gaa(T704, X1091, X1092))
EX_IN_GA(T704, X1092) → PY_IN_GAA(T704, X1091, X1092)
PY_IN_GAA(T704, T706, X1092) → U74_GAA(T704, T706, X1092, tM_in_ga(T704, T706))
PY_IN_GAA(T704, T706, X1092) → TM_IN_GA(T704, T706)
U74_GAA(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_GAA(T704, T706, X1092, eX_in_ga(T706, X1092))
U74_GAA(T704, T706, X1092, tM_out_ga(T704, T706)) → EX_IN_GA(T706, X1092)
TZ_IN_GA(T714, X1114) → U24_GA(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
TZ_IN_GA(T714, X1114) → PN1_IN_GAA(T714, X1113, X1114)
PN1_IN_GAA(T714, T718, X1114) → U76_GAA(T714, T718, X1114, nE_in_ga(T714, T718))
PN1_IN_GAA(T714, T718, X1114) → NE_IN_GA(T714, T718)
U76_GAA(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_GAA(T714, T718, X1114, tZ_in_ga(T718, X1114))
U76_GAA(T714, T718, X1114, nE_out_ga(T714, T718)) → TZ_IN_GA(T718, X1114)
EN2_IN_GA(T726, X1135) → U26_GA(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
EN2_IN_GA(T726, X1135) → PN3_IN_GAA(T726, X1134, X1135)
PN3_IN_GAA(T726, T728, X1135) → U78_GAA(T726, T728, X1135, tM_in_ga(T726, T728))
PN3_IN_GAA(T726, T728, X1135) → TM_IN_GA(T726, T728)
U78_GAA(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_GAA(T726, T728, X1135, eN2_in_ga(T728, X1135))
U78_GAA(T726, T728, X1135, tM_out_ga(T726, T728)) → EN2_IN_GA(T728, X1135)
TN4_IN_GA(T736, X1157) → U28_GA(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
TN4_IN_GA(T736, X1157) → PN5_IN_GAA(T736, X1156, X1157)
PN5_IN_GAA(T736, T740, X1157) → U80_GAA(T736, T740, X1157, nE_in_ga(T736, T740))
PN5_IN_GAA(T736, T740, X1157) → NE_IN_GA(T736, T740)
U80_GAA(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_GAA(T736, T740, X1157, tN4_in_ga(T740, X1157))
U80_GAA(T736, T740, X1157, nE_out_ga(T736, T740)) → TN4_IN_GA(T740, X1157)
EN6_IN_GA(T748, X1178) → U30_GA(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
EN6_IN_GA(T748, X1178) → PN7_IN_GAA(T748, X1177, X1178)
PN7_IN_GAA(T748, T750, X1178) → U82_GAA(T748, T750, X1178, tM_in_ga(T748, T750))
PN7_IN_GAA(T748, T750, X1178) → TM_IN_GA(T748, T750)
U82_GAA(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_GAA(T748, T750, X1178, eN6_in_ga(T750, X1178))
U82_GAA(T748, T750, X1178, tM_out_ga(T748, T750)) → EN6_IN_GA(T750, X1178)
TN8_IN_GA(T758, X1200) → U32_GA(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
TN8_IN_GA(T758, X1200) → PN9_IN_GAA(T758, X1199, X1200)
PN9_IN_GAA(T758, T762, X1200) → U84_GAA(T758, T762, X1200, nE_in_ga(T758, T762))
PN9_IN_GAA(T758, T762, X1200) → NE_IN_GA(T758, T762)
U84_GAA(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_GAA(T758, T762, X1200, tN8_in_ga(T762, X1200))
U84_GAA(T758, T762, X1200, nE_out_ga(T758, T762)) → TN8_IN_GA(T762, X1200)
EN_IN_GA(T770, X1221) → U34_GA(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
EN_IN_GA(T770, X1221) → PN10_IN_GAA(T770, X1220, X1221)
PN10_IN_GAA(T770, T772, X1221) → U86_GAA(T770, T772, X1221, tM_in_ga(T770, T772))
PN10_IN_GAA(T770, T772, X1221) → TM_IN_GA(T770, T772)
U86_GAA(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_GAA(T770, T772, X1221, eN_in_ga(T772, X1221))
U86_GAA(T770, T772, X1221, tM_out_ga(T770, T772)) → EN_IN_GA(T772, X1221)
U110_GAA(T941, T945, T943, tM_out_ga(T941, T945)) → U111_GAA(T941, T945, T943, eA_in_ga(T945, T943))
U110_GAA(T941, T945, T943, tM_out_ga(T941, T945)) → EA_IN_GA(T945, T943)
TG_IN_GA(T345, X498) → U6_GA(T345, X498, pH_in_gaa(T345, X497, X498))
TG_IN_GA(T345, X498) → PH_IN_GAA(T345, X497, X498)
PH_IN_GAA(T345, T349, X498) → U60_GAA(T345, T349, X498, nE_in_ga(T345, T349))
PH_IN_GAA(T345, T349, X498) → NE_IN_GA(T345, T349)
U60_GAA(T345, T349, X498, nE_out_ga(T345, T349)) → U61_GAA(T345, T349, X498, tG_in_ga(T349, X498))
U60_GAA(T345, T349, X498, nE_out_ga(T345, T349)) → TG_IN_GA(T349, X498)
EI_IN_GA(T357, X519) → U8_GA(T357, X519, pJ_in_gaa(T357, X518, X519))
EI_IN_GA(T357, X519) → PJ_IN_GAA(T357, X518, X519)
PJ_IN_GAA(T357, T359, X519) → U62_GAA(T357, T359, X519, tM_in_ga(T357, T359))
PJ_IN_GAA(T357, T359, X519) → TM_IN_GA(T357, T359)
U62_GAA(T357, T359, X519, tM_out_ga(T357, T359)) → U63_GAA(T357, T359, X519, eI_in_ga(T359, X519))
U62_GAA(T357, T359, X519, tM_out_ga(T357, T359)) → EI_IN_GA(T359, X519)
TN11_IN_GA(T795, X1266) → U36_GA(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
TN11_IN_GA(T795, X1266) → PN12_IN_GAA(T795, X1265, X1266)
PN12_IN_GAA(T795, T799, X1266) → U90_GAA(T795, T799, X1266, nE_in_ga(T795, T799))
PN12_IN_GAA(T795, T799, X1266) → NE_IN_GA(T795, T799)
U90_GAA(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_GAA(T795, T799, X1266, tN11_in_ga(T799, X1266))
U90_GAA(T795, T799, X1266, nE_out_ga(T795, T799)) → TN11_IN_GA(T799, X1266)
EN13_IN_GA(T807, X1287) → U38_GA(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
EN13_IN_GA(T807, X1287) → PN14_IN_GAA(T807, X1286, X1287)
PN14_IN_GAA(T807, T809, X1287) → U92_GAA(T807, T809, X1287, tM_in_ga(T807, T809))
PN14_IN_GAA(T807, T809, X1287) → TM_IN_GA(T807, T809)
U92_GAA(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_GAA(T807, T809, X1287, eN13_in_ga(T809, X1287))
U92_GAA(T807, T809, X1287, tM_out_ga(T807, T809)) → EN13_IN_GA(T809, X1287)
TN15_IN_GA(T817, X1309) → U40_GA(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
TN15_IN_GA(T817, X1309) → PN16_IN_GAA(T817, X1308, X1309)
PN16_IN_GAA(T817, T821, X1309) → U94_GAA(T817, T821, X1309, nE_in_ga(T817, T821))
PN16_IN_GAA(T817, T821, X1309) → NE_IN_GA(T817, T821)
U94_GAA(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_GAA(T817, T821, X1309, tN15_in_ga(T821, X1309))
U94_GAA(T817, T821, X1309, nE_out_ga(T817, T821)) → TN15_IN_GA(T821, X1309)
EN17_IN_GA(T829, X1330) → U42_GA(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
EN17_IN_GA(T829, X1330) → PN18_IN_GAA(T829, X1329, X1330)
PN18_IN_GAA(T829, T831, X1330) → U96_GAA(T829, T831, X1330, tM_in_ga(T829, T831))
PN18_IN_GAA(T829, T831, X1330) → TM_IN_GA(T829, T831)
U96_GAA(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_GAA(T829, T831, X1330, eN17_in_ga(T831, X1330))
U96_GAA(T829, T831, X1330, tM_out_ga(T829, T831)) → EN17_IN_GA(T831, X1330)
TN19_IN_GA(T839, X1352) → U44_GA(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
TN19_IN_GA(T839, X1352) → PN20_IN_GAA(T839, X1351, X1352)
PN20_IN_GAA(T839, T843, X1352) → U98_GAA(T839, T843, X1352, nE_in_ga(T839, T843))
PN20_IN_GAA(T839, T843, X1352) → NE_IN_GA(T839, T843)
U98_GAA(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_GAA(T839, T843, X1352, tN19_in_ga(T843, X1352))
U98_GAA(T839, T843, X1352, nE_out_ga(T839, T843)) → TN19_IN_GA(T843, X1352)
EN21_IN_GA(T851, X1373) → U46_GA(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
EN21_IN_GA(T851, X1373) → PN22_IN_GAA(T851, X1372, X1373)
PN22_IN_GAA(T851, T853, X1373) → U100_GAA(T851, T853, X1373, tM_in_ga(T851, T853))
PN22_IN_GAA(T851, T853, X1373) → TM_IN_GA(T851, T853)
U100_GAA(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_GAA(T851, T853, X1373, eN21_in_ga(T853, X1373))
U100_GAA(T851, T853, X1373, tM_out_ga(T851, T853)) → EN21_IN_GA(T853, X1373)
TN23_IN_GA(T861, X1395) → U48_GA(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
TN23_IN_GA(T861, X1395) → PN24_IN_GAA(T861, X1394, X1395)
PN24_IN_GAA(T861, T865, X1395) → U102_GAA(T861, T865, X1395, nE_in_ga(T861, T865))
PN24_IN_GAA(T861, T865, X1395) → NE_IN_GA(T861, T865)
U102_GAA(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_GAA(T861, T865, X1395, tN23_in_ga(T865, X1395))
U102_GAA(T861, T865, X1395, nE_out_ga(T861, T865)) → TN23_IN_GA(T865, X1395)
EN25_IN_GA(T873, X1416) → U50_GA(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
EN25_IN_GA(T873, X1416) → PN26_IN_GAA(T873, X1415, X1416)
PN26_IN_GAA(T873, T875, X1416) → U104_GAA(T873, T875, X1416, tM_in_ga(T873, T875))
PN26_IN_GAA(T873, T875, X1416) → TM_IN_GA(T873, T875)
U104_GAA(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_GAA(T873, T875, X1416, eN25_in_ga(T875, X1416))
U104_GAA(T873, T875, X1416, tM_out_ga(T873, T875)) → EN25_IN_GA(T875, X1416)
TN27_IN_GA(T883, X1438) → U52_GA(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
TN27_IN_GA(T883, X1438) → PN28_IN_GAA(T883, X1437, X1438)
PN28_IN_GAA(T883, T887, X1438) → U106_GAA(T883, T887, X1438, nE_in_ga(T883, T887))
PN28_IN_GAA(T883, T887, X1438) → NE_IN_GA(T883, T887)
U106_GAA(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_GAA(T883, T887, X1438, tN27_in_ga(T887, X1438))
U106_GAA(T883, T887, X1438, nE_out_ga(T883, T887)) → TN27_IN_GA(T887, X1438)
EF_IN_GA(T895, X1459) → U54_GA(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
EF_IN_GA(T895, X1459) → PN29_IN_GAA(T895, X1458, X1459)
PN29_IN_GAA(T895, T897, X1459) → U108_GAA(T895, T897, X1459, tM_in_ga(T895, T897))
PN29_IN_GAA(T895, T897, X1459) → TM_IN_GA(T895, T897)
U108_GAA(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_GAA(T895, T897, X1459, eF_in_ga(T897, X1459))
U108_GAA(T895, T897, X1459, tM_out_ga(T895, T897)) → EF_IN_GA(T897, X1459)
U58_GAA(T62, T68, T64, nE_out_ga(T62, T68)) → U59_GAA(T62, T68, T64, tN30_in_ga(T68, T64))
U58_GAA(T62, T68, T64, nE_out_ga(T62, T68)) → TN30_IN_GA(T68, T64)
TN30_IN_GA(T916, T918) → U56_GA(T916, T918, nB_in_ga(T916, T918))
TN30_IN_GA(T916, T918) → NB_IN_GA(T916, T918)
TN30_IN_GA(T929, T931) → U57_GA(T929, T931, pC_in_gaa(T929, X1496, T931))
TN30_IN_GA(T929, T931) → PC_IN_GAA(T929, X1496, T931)

The TRS R consists of the following rules:

eA_in_ga(T22, T24) → U1_ga(T22, T24, nB_in_ga(T22, T24))
nB_in_ga(.(a, T36), T36) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36), T36) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36), T36) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41), T43) → U55_ga(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
eA_in_ga(T62, T64) → U2_ga(T62, T64, pC_in_gaa(T62, X55, T64))
pC_in_gaa(T62, T68, T64) → U58_gaa(T62, T68, T64, nE_in_ga(T62, T68))
nE_in_ga(.(a, .(star, T86)), T86) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86)), T86) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86)), T86) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89), X78) → U4_ga(T89, X78, eF_in_ga(T89, X78))
eF_in_ga(T97, X102) → U53_ga(T97, X102, tN27_in_ga(T97, X102))
tN27_in_ga(.(a, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130), X145) → U51_ga(T130, X145, eN25_in_ga(T130, X145))
eN25_in_ga(T138, X169) → U49_ga(T138, X169, tN23_in_ga(T138, X169))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171), X212) → U47_ga(T171, X212, eN21_in_ga(T171, X212))
eN21_in_ga(T179, X236) → U45_ga(T179, X236, tN19_in_ga(T179, X236))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212), X279) → U43_ga(T212, X279, eN17_in_ga(T212, X279))
eN17_in_ga(T220, X303) → U41_ga(T220, X303, tN15_in_ga(T220, X303))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253), X346) → U39_ga(T253, X346, eN13_in_ga(T253, X346))
eN13_in_ga(T261, X370) → U37_ga(T261, X370, tN11_in_ga(T261, X370))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294), X413) → U35_ga(T294, X413, eI_in_ga(T294, X413))
eI_in_ga(T302, X437) → U7_ga(T302, X437, tG_in_ga(T302, X437))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335), X480) → U5_ga(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
eA_in_ga(T941, T943) → U3_ga(T941, T943, pD_in_gaa(T941, X1509, T943))
pD_in_gaa(T941, T945, T943) → U110_gaa(T941, T945, T943, tM_in_ga(T941, T945))
tM_in_ga(.(a, .(plus, T389)), T389) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389)), T389) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389)), T389) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392), X565) → U11_ga(T392, X565, eN_in_ga(T392, X565))
eN_in_ga(T400, X589) → U33_ga(T400, X589, tN8_in_ga(T400, X589))
tN8_in_ga(.(a, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433), X632) → U31_ga(T433, X632, eN6_in_ga(T433, X632))
eN6_in_ga(T441, X656) → U29_ga(T441, X656, tN4_in_ga(T441, X656))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474), X699) → U27_ga(T474, X699, eN2_in_ga(T474, X699))
eN2_in_ga(T482, X723) → U25_ga(T482, X723, tZ_in_ga(T482, X723))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515), X766) → U23_ga(T515, X766, eX_in_ga(T515, X766))
eX_in_ga(T523, X790) → U21_ga(T523, X790, tV_in_ga(T523, X790))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556), X833) → U19_ga(T556, X833, eT_in_ga(T556, X833))
eT_in_ga(T564, X857) → U17_ga(T564, X857, tR_in_ga(T564, X857))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597), X900) → U15_ga(T597, X900, eP_in_ga(T597, X900))
eP_in_ga(T605, X924) → U13_ga(T605, X924, tK_in_ga(T605, X924))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638), X967) → U9_ga(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
U9_ga(T638, X967, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648, X985) → U10_ga(T648, X985, pL_in_gaa(T648, X984, X985))
pL_in_gaa(T648, T652, X985) → U64_gaa(T648, T652, X985, nE_in_ga(T648, T652))
U64_gaa(T648, T652, X985, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, X985, tK_in_ga(T652, X985))
U65_gaa(T648, T652, X985, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, X985, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, X924, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660, X1006) → U14_ga(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
pQ_in_gaa(T660, T662, X1006) → U66_gaa(T660, T662, X1006, tM_in_ga(T660, T662))
tM_in_ga(T780, X1243) → U12_ga(T780, X1243, pO_in_gaa(T780, X1242, X1243))
pO_in_gaa(T780, T784, X1243) → U88_gaa(T780, T784, X1243, nE_in_ga(T780, T784))
U88_gaa(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, X1243, tM_in_ga(T784, X1243))
U89_gaa(T780, T784, X1243, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, X1243, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, X1006, eP_in_ga(T662, X1006))
U67_gaa(T660, T662, X1006, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, X1006, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, X900, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670, X1028) → U16_ga(T670, X1028, pS_in_gaa(T670, X1027, X1028))
pS_in_gaa(T670, T674, X1028) → U68_gaa(T670, T674, X1028, nE_in_ga(T670, T674))
U68_gaa(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, X1028, tR_in_ga(T674, X1028))
U69_gaa(T670, T674, X1028, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, X1028, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, X857, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682, X1049) → U18_ga(T682, X1049, pU_in_gaa(T682, X1048, X1049))
pU_in_gaa(T682, T684, X1049) → U70_gaa(T682, T684, X1049, tM_in_ga(T682, T684))
U70_gaa(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, X1049, eT_in_ga(T684, X1049))
U71_gaa(T682, T684, X1049, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, X1049, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, X833, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692, X1071) → U20_ga(T692, X1071, pW_in_gaa(T692, X1070, X1071))
pW_in_gaa(T692, T696, X1071) → U72_gaa(T692, T696, X1071, nE_in_ga(T692, T696))
U72_gaa(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, X1071, tV_in_ga(T696, X1071))
U73_gaa(T692, T696, X1071, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, X1071, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, X790, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704, X1092) → U22_ga(T704, X1092, pY_in_gaa(T704, X1091, X1092))
pY_in_gaa(T704, T706, X1092) → U74_gaa(T704, T706, X1092, tM_in_ga(T704, T706))
U74_gaa(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, X1092, eX_in_ga(T706, X1092))
U75_gaa(T704, T706, X1092, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, X1092, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, X766, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714, X1114) → U24_ga(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
pN1_in_gaa(T714, T718, X1114) → U76_gaa(T714, T718, X1114, nE_in_ga(T714, T718))
U76_gaa(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, X1114, tZ_in_ga(T718, X1114))
U77_gaa(T714, T718, X1114, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, X1114, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, X723, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726, X1135) → U26_ga(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
pN3_in_gaa(T726, T728, X1135) → U78_gaa(T726, T728, X1135, tM_in_ga(T726, T728))
U78_gaa(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, X1135, eN2_in_ga(T728, X1135))
U79_gaa(T726, T728, X1135, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, X1135, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, X699, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736, X1157) → U28_ga(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
pN5_in_gaa(T736, T740, X1157) → U80_gaa(T736, T740, X1157, nE_in_ga(T736, T740))
U80_gaa(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, X1157, tN4_in_ga(T740, X1157))
U81_gaa(T736, T740, X1157, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, X1157, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, X656, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748, X1178) → U30_ga(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
pN7_in_gaa(T748, T750, X1178) → U82_gaa(T748, T750, X1178, tM_in_ga(T748, T750))
U82_gaa(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, X1178, eN6_in_ga(T750, X1178))
U83_gaa(T748, T750, X1178, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, X1178, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, X632, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758, X1200) → U32_ga(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
pN9_in_gaa(T758, T762, X1200) → U84_gaa(T758, T762, X1200, nE_in_ga(T758, T762))
U84_gaa(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, X1200, tN8_in_ga(T762, X1200))
U85_gaa(T758, T762, X1200, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, X1200, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, X589, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770, X1221) → U34_ga(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
pN10_in_gaa(T770, T772, X1221) → U86_gaa(T770, T772, X1221, tM_in_ga(T770, T772))
U86_gaa(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, X1221, eN_in_ga(T772, X1221))
U87_gaa(T770, T772, X1221, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, X1221, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, X565, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, T945, T943, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, T943, eA_in_ga(T945, T943))
U111_gaa(T941, T945, T943, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, T943, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, X480, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345, X498) → U6_ga(T345, X498, pH_in_gaa(T345, X497, X498))
pH_in_gaa(T345, T349, X498) → U60_gaa(T345, T349, X498, nE_in_ga(T345, T349))
U60_gaa(T345, T349, X498, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, X498, tG_in_ga(T349, X498))
U61_gaa(T345, T349, X498, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, X498, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, X437, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357, X519) → U8_ga(T357, X519, pJ_in_gaa(T357, X518, X519))
pJ_in_gaa(T357, T359, X519) → U62_gaa(T357, T359, X519, tM_in_ga(T357, T359))
U62_gaa(T357, T359, X519, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, X519, eI_in_ga(T359, X519))
U63_gaa(T357, T359, X519, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, X519, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, X413, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795, X1266) → U36_ga(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
pN12_in_gaa(T795, T799, X1266) → U90_gaa(T795, T799, X1266, nE_in_ga(T795, T799))
U90_gaa(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, X1266, tN11_in_ga(T799, X1266))
U91_gaa(T795, T799, X1266, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, X1266, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, X370, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807, X1287) → U38_ga(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
pN14_in_gaa(T807, T809, X1287) → U92_gaa(T807, T809, X1287, tM_in_ga(T807, T809))
U92_gaa(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, X1287, eN13_in_ga(T809, X1287))
U93_gaa(T807, T809, X1287, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, X1287, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, X346, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817, X1309) → U40_ga(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
pN16_in_gaa(T817, T821, X1309) → U94_gaa(T817, T821, X1309, nE_in_ga(T817, T821))
U94_gaa(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, X1309, tN15_in_ga(T821, X1309))
U95_gaa(T817, T821, X1309, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, X1309, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, X303, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829, X1330) → U42_ga(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
pN18_in_gaa(T829, T831, X1330) → U96_gaa(T829, T831, X1330, tM_in_ga(T829, T831))
U96_gaa(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, X1330, eN17_in_ga(T831, X1330))
U97_gaa(T829, T831, X1330, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, X1330, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, X279, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839, X1352) → U44_ga(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
pN20_in_gaa(T839, T843, X1352) → U98_gaa(T839, T843, X1352, nE_in_ga(T839, T843))
U98_gaa(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, X1352, tN19_in_ga(T843, X1352))
U99_gaa(T839, T843, X1352, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, X1352, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, X236, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851, X1373) → U46_ga(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
pN22_in_gaa(T851, T853, X1373) → U100_gaa(T851, T853, X1373, tM_in_ga(T851, T853))
U100_gaa(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, X1373, eN21_in_ga(T853, X1373))
U101_gaa(T851, T853, X1373, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, X1373, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, X212, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861, X1395) → U48_ga(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
pN24_in_gaa(T861, T865, X1395) → U102_gaa(T861, T865, X1395, nE_in_ga(T861, T865))
U102_gaa(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, X1395, tN23_in_ga(T865, X1395))
U103_gaa(T861, T865, X1395, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, X1395, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, X169, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873, X1416) → U50_ga(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
pN26_in_gaa(T873, T875, X1416) → U104_gaa(T873, T875, X1416, tM_in_ga(T873, T875))
U104_gaa(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, X1416, eN25_in_ga(T875, X1416))
U105_gaa(T873, T875, X1416, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, X1416, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, X145, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883, X1438) → U52_ga(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
pN28_in_gaa(T883, T887, X1438) → U106_gaa(T883, T887, X1438, nE_in_ga(T883, T887))
U106_gaa(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, X1438, tN27_in_ga(T887, X1438))
U107_gaa(T883, T887, X1438, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, X1438, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, X102, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895, X1459) → U54_ga(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
pN29_in_gaa(T895, T897, X1459) → U108_gaa(T895, T897, X1459, tM_in_ga(T895, T897))
U108_gaa(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, X1459, eF_in_ga(T897, X1459))
U109_gaa(T895, T897, X1459, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, X1459, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, X78, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, T68, T64, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, T64, tN30_in_ga(T68, T64))
tN30_in_ga(T916, T918) → U56_ga(T916, T918, nB_in_ga(T916, T918))
U56_ga(T916, T918, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929, T931) → U57_ga(T929, T931, pC_in_gaa(T929, X1496, T931))
U57_ga(T929, T931, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, T64, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, T64, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, T43, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, T24, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The argument filtering Pi contains the following mapping:
eA_in_ga(x1, x2)  =  eA_in_ga(x1)
U1_ga(x1, x2, x3)  =  U1_ga(x1, x3)
nB_in_ga(x1, x2)  =  nB_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
a  =  a
nB_out_ga(x1, x2)  =  nB_out_ga(x1, x2)
b  =  b
c  =  c
lbrace  =  lbrace
U55_ga(x1, x2, x3)  =  U55_ga(x1, x3)
U2_ga(x1, x2, x3)  =  U2_ga(x1, x3)
pC_in_gaa(x1, x2, x3)  =  pC_in_gaa(x1)
U58_gaa(x1, x2, x3, x4)  =  U58_gaa(x1, x4)
nE_in_ga(x1, x2)  =  nE_in_ga(x1)
star  =  star
nE_out_ga(x1, x2)  =  nE_out_ga(x1, x2)
U4_ga(x1, x2, x3)  =  U4_ga(x1, x3)
eF_in_ga(x1, x2)  =  eF_in_ga(x1)
U53_ga(x1, x2, x3)  =  U53_ga(x1, x3)
tN27_in_ga(x1, x2)  =  tN27_in_ga(x1)
rbrace  =  rbrace
tN27_out_ga(x1, x2)  =  tN27_out_ga(x1, x2)
U51_ga(x1, x2, x3)  =  U51_ga(x1, x3)
eN25_in_ga(x1, x2)  =  eN25_in_ga(x1)
U49_ga(x1, x2, x3)  =  U49_ga(x1, x3)
tN23_in_ga(x1, x2)  =  tN23_in_ga(x1)
tN23_out_ga(x1, x2)  =  tN23_out_ga(x1, x2)
U47_ga(x1, x2, x3)  =  U47_ga(x1, x3)
eN21_in_ga(x1, x2)  =  eN21_in_ga(x1)
U45_ga(x1, x2, x3)  =  U45_ga(x1, x3)
tN19_in_ga(x1, x2)  =  tN19_in_ga(x1)
tN19_out_ga(x1, x2)  =  tN19_out_ga(x1, x2)
U43_ga(x1, x2, x3)  =  U43_ga(x1, x3)
eN17_in_ga(x1, x2)  =  eN17_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x1, x3)
tN15_in_ga(x1, x2)  =  tN15_in_ga(x1)
tN15_out_ga(x1, x2)  =  tN15_out_ga(x1, x2)
U39_ga(x1, x2, x3)  =  U39_ga(x1, x3)
eN13_in_ga(x1, x2)  =  eN13_in_ga(x1)
U37_ga(x1, x2, x3)  =  U37_ga(x1, x3)
tN11_in_ga(x1, x2)  =  tN11_in_ga(x1)
tN11_out_ga(x1, x2)  =  tN11_out_ga(x1, x2)
U35_ga(x1, x2, x3)  =  U35_ga(x1, x3)
eI_in_ga(x1, x2)  =  eI_in_ga(x1)
U7_ga(x1, x2, x3)  =  U7_ga(x1, x3)
tG_in_ga(x1, x2)  =  tG_in_ga(x1)
tG_out_ga(x1, x2)  =  tG_out_ga(x1, x2)
U5_ga(x1, x2, x3)  =  U5_ga(x1, x3)
U3_ga(x1, x2, x3)  =  U3_ga(x1, x3)
pD_in_gaa(x1, x2, x3)  =  pD_in_gaa(x1)
U110_gaa(x1, x2, x3, x4)  =  U110_gaa(x1, x4)
tM_in_ga(x1, x2)  =  tM_in_ga(x1)
plus  =  plus
tM_out_ga(x1, x2)  =  tM_out_ga(x1, x2)
U11_ga(x1, x2, x3)  =  U11_ga(x1, x3)
eN_in_ga(x1, x2)  =  eN_in_ga(x1)
U33_ga(x1, x2, x3)  =  U33_ga(x1, x3)
tN8_in_ga(x1, x2)  =  tN8_in_ga(x1)
tN8_out_ga(x1, x2)  =  tN8_out_ga(x1, x2)
U31_ga(x1, x2, x3)  =  U31_ga(x1, x3)
eN6_in_ga(x1, x2)  =  eN6_in_ga(x1)
U29_ga(x1, x2, x3)  =  U29_ga(x1, x3)
tN4_in_ga(x1, x2)  =  tN4_in_ga(x1)
tN4_out_ga(x1, x2)  =  tN4_out_ga(x1, x2)
U27_ga(x1, x2, x3)  =  U27_ga(x1, x3)
eN2_in_ga(x1, x2)  =  eN2_in_ga(x1)
U25_ga(x1, x2, x3)  =  U25_ga(x1, x3)
tZ_in_ga(x1, x2)  =  tZ_in_ga(x1)
tZ_out_ga(x1, x2)  =  tZ_out_ga(x1, x2)
U23_ga(x1, x2, x3)  =  U23_ga(x1, x3)
eX_in_ga(x1, x2)  =  eX_in_ga(x1)
U21_ga(x1, x2, x3)  =  U21_ga(x1, x3)
tV_in_ga(x1, x2)  =  tV_in_ga(x1)
tV_out_ga(x1, x2)  =  tV_out_ga(x1, x2)
U19_ga(x1, x2, x3)  =  U19_ga(x1, x3)
eT_in_ga(x1, x2)  =  eT_in_ga(x1)
U17_ga(x1, x2, x3)  =  U17_ga(x1, x3)
tR_in_ga(x1, x2)  =  tR_in_ga(x1)
tR_out_ga(x1, x2)  =  tR_out_ga(x1, x2)
U15_ga(x1, x2, x3)  =  U15_ga(x1, x3)
eP_in_ga(x1, x2)  =  eP_in_ga(x1)
U13_ga(x1, x2, x3)  =  U13_ga(x1, x3)
tK_in_ga(x1, x2)  =  tK_in_ga(x1)
tK_out_ga(x1, x2)  =  tK_out_ga(x1, x2)
U9_ga(x1, x2, x3)  =  U9_ga(x1, x3)
eA_out_ga(x1, x2)  =  eA_out_ga(x1, x2)
U10_ga(x1, x2, x3)  =  U10_ga(x1, x3)
pL_in_gaa(x1, x2, x3)  =  pL_in_gaa(x1)
U64_gaa(x1, x2, x3, x4)  =  U64_gaa(x1, x4)
U65_gaa(x1, x2, x3, x4)  =  U65_gaa(x1, x2, x4)
pL_out_gaa(x1, x2, x3)  =  pL_out_gaa(x1, x2, x3)
eP_out_ga(x1, x2)  =  eP_out_ga(x1, x2)
U14_ga(x1, x2, x3)  =  U14_ga(x1, x3)
pQ_in_gaa(x1, x2, x3)  =  pQ_in_gaa(x1)
U66_gaa(x1, x2, x3, x4)  =  U66_gaa(x1, x4)
U12_ga(x1, x2, x3)  =  U12_ga(x1, x3)
pO_in_gaa(x1, x2, x3)  =  pO_in_gaa(x1)
U88_gaa(x1, x2, x3, x4)  =  U88_gaa(x1, x4)
U89_gaa(x1, x2, x3, x4)  =  U89_gaa(x1, x2, x4)
pO_out_gaa(x1, x2, x3)  =  pO_out_gaa(x1, x2, x3)
U67_gaa(x1, x2, x3, x4)  =  U67_gaa(x1, x2, x4)
pQ_out_gaa(x1, x2, x3)  =  pQ_out_gaa(x1, x2, x3)
U16_ga(x1, x2, x3)  =  U16_ga(x1, x3)
pS_in_gaa(x1, x2, x3)  =  pS_in_gaa(x1)
U68_gaa(x1, x2, x3, x4)  =  U68_gaa(x1, x4)
U69_gaa(x1, x2, x3, x4)  =  U69_gaa(x1, x2, x4)
pS_out_gaa(x1, x2, x3)  =  pS_out_gaa(x1, x2, x3)
eT_out_ga(x1, x2)  =  eT_out_ga(x1, x2)
U18_ga(x1, x2, x3)  =  U18_ga(x1, x3)
pU_in_gaa(x1, x2, x3)  =  pU_in_gaa(x1)
U70_gaa(x1, x2, x3, x4)  =  U70_gaa(x1, x4)
U71_gaa(x1, x2, x3, x4)  =  U71_gaa(x1, x2, x4)
pU_out_gaa(x1, x2, x3)  =  pU_out_gaa(x1, x2, x3)
U20_ga(x1, x2, x3)  =  U20_ga(x1, x3)
pW_in_gaa(x1, x2, x3)  =  pW_in_gaa(x1)
U72_gaa(x1, x2, x3, x4)  =  U72_gaa(x1, x4)
U73_gaa(x1, x2, x3, x4)  =  U73_gaa(x1, x2, x4)
pW_out_gaa(x1, x2, x3)  =  pW_out_gaa(x1, x2, x3)
eX_out_ga(x1, x2)  =  eX_out_ga(x1, x2)
U22_ga(x1, x2, x3)  =  U22_ga(x1, x3)
pY_in_gaa(x1, x2, x3)  =  pY_in_gaa(x1)
U74_gaa(x1, x2, x3, x4)  =  U74_gaa(x1, x4)
U75_gaa(x1, x2, x3, x4)  =  U75_gaa(x1, x2, x4)
pY_out_gaa(x1, x2, x3)  =  pY_out_gaa(x1, x2, x3)
U24_ga(x1, x2, x3)  =  U24_ga(x1, x3)
pN1_in_gaa(x1, x2, x3)  =  pN1_in_gaa(x1)
U76_gaa(x1, x2, x3, x4)  =  U76_gaa(x1, x4)
U77_gaa(x1, x2, x3, x4)  =  U77_gaa(x1, x2, x4)
pN1_out_gaa(x1, x2, x3)  =  pN1_out_gaa(x1, x2, x3)
eN2_out_ga(x1, x2)  =  eN2_out_ga(x1, x2)
U26_ga(x1, x2, x3)  =  U26_ga(x1, x3)
pN3_in_gaa(x1, x2, x3)  =  pN3_in_gaa(x1)
U78_gaa(x1, x2, x3, x4)  =  U78_gaa(x1, x4)
U79_gaa(x1, x2, x3, x4)  =  U79_gaa(x1, x2, x4)
pN3_out_gaa(x1, x2, x3)  =  pN3_out_gaa(x1, x2, x3)
U28_ga(x1, x2, x3)  =  U28_ga(x1, x3)
pN5_in_gaa(x1, x2, x3)  =  pN5_in_gaa(x1)
U80_gaa(x1, x2, x3, x4)  =  U80_gaa(x1, x4)
U81_gaa(x1, x2, x3, x4)  =  U81_gaa(x1, x2, x4)
pN5_out_gaa(x1, x2, x3)  =  pN5_out_gaa(x1, x2, x3)
eN6_out_ga(x1, x2)  =  eN6_out_ga(x1, x2)
U30_ga(x1, x2, x3)  =  U30_ga(x1, x3)
pN7_in_gaa(x1, x2, x3)  =  pN7_in_gaa(x1)
U82_gaa(x1, x2, x3, x4)  =  U82_gaa(x1, x4)
U83_gaa(x1, x2, x3, x4)  =  U83_gaa(x1, x2, x4)
pN7_out_gaa(x1, x2, x3)  =  pN7_out_gaa(x1, x2, x3)
U32_ga(x1, x2, x3)  =  U32_ga(x1, x3)
pN9_in_gaa(x1, x2, x3)  =  pN9_in_gaa(x1)
U84_gaa(x1, x2, x3, x4)  =  U84_gaa(x1, x4)
U85_gaa(x1, x2, x3, x4)  =  U85_gaa(x1, x2, x4)
pN9_out_gaa(x1, x2, x3)  =  pN9_out_gaa(x1, x2, x3)
eN_out_ga(x1, x2)  =  eN_out_ga(x1, x2)
U34_ga(x1, x2, x3)  =  U34_ga(x1, x3)
pN10_in_gaa(x1, x2, x3)  =  pN10_in_gaa(x1)
U86_gaa(x1, x2, x3, x4)  =  U86_gaa(x1, x4)
U87_gaa(x1, x2, x3, x4)  =  U87_gaa(x1, x2, x4)
pN10_out_gaa(x1, x2, x3)  =  pN10_out_gaa(x1, x2, x3)
U111_gaa(x1, x2, x3, x4)  =  U111_gaa(x1, x2, x4)
pD_out_gaa(x1, x2, x3)  =  pD_out_gaa(x1, x2, x3)
U6_ga(x1, x2, x3)  =  U6_ga(x1, x3)
pH_in_gaa(x1, x2, x3)  =  pH_in_gaa(x1)
U60_gaa(x1, x2, x3, x4)  =  U60_gaa(x1, x4)
U61_gaa(x1, x2, x3, x4)  =  U61_gaa(x1, x2, x4)
pH_out_gaa(x1, x2, x3)  =  pH_out_gaa(x1, x2, x3)
eI_out_ga(x1, x2)  =  eI_out_ga(x1, x2)
U8_ga(x1, x2, x3)  =  U8_ga(x1, x3)
pJ_in_gaa(x1, x2, x3)  =  pJ_in_gaa(x1)
U62_gaa(x1, x2, x3, x4)  =  U62_gaa(x1, x4)
U63_gaa(x1, x2, x3, x4)  =  U63_gaa(x1, x2, x4)
pJ_out_gaa(x1, x2, x3)  =  pJ_out_gaa(x1, x2, x3)
U36_ga(x1, x2, x3)  =  U36_ga(x1, x3)
pN12_in_gaa(x1, x2, x3)  =  pN12_in_gaa(x1)
U90_gaa(x1, x2, x3, x4)  =  U90_gaa(x1, x4)
U91_gaa(x1, x2, x3, x4)  =  U91_gaa(x1, x2, x4)
pN12_out_gaa(x1, x2, x3)  =  pN12_out_gaa(x1, x2, x3)
eN13_out_ga(x1, x2)  =  eN13_out_ga(x1, x2)
U38_ga(x1, x2, x3)  =  U38_ga(x1, x3)
pN14_in_gaa(x1, x2, x3)  =  pN14_in_gaa(x1)
U92_gaa(x1, x2, x3, x4)  =  U92_gaa(x1, x4)
U93_gaa(x1, x2, x3, x4)  =  U93_gaa(x1, x2, x4)
pN14_out_gaa(x1, x2, x3)  =  pN14_out_gaa(x1, x2, x3)
U40_ga(x1, x2, x3)  =  U40_ga(x1, x3)
pN16_in_gaa(x1, x2, x3)  =  pN16_in_gaa(x1)
U94_gaa(x1, x2, x3, x4)  =  U94_gaa(x1, x4)
U95_gaa(x1, x2, x3, x4)  =  U95_gaa(x1, x2, x4)
pN16_out_gaa(x1, x2, x3)  =  pN16_out_gaa(x1, x2, x3)
eN17_out_ga(x1, x2)  =  eN17_out_ga(x1, x2)
U42_ga(x1, x2, x3)  =  U42_ga(x1, x3)
pN18_in_gaa(x1, x2, x3)  =  pN18_in_gaa(x1)
U96_gaa(x1, x2, x3, x4)  =  U96_gaa(x1, x4)
U97_gaa(x1, x2, x3, x4)  =  U97_gaa(x1, x2, x4)
pN18_out_gaa(x1, x2, x3)  =  pN18_out_gaa(x1, x2, x3)
U44_ga(x1, x2, x3)  =  U44_ga(x1, x3)
pN20_in_gaa(x1, x2, x3)  =  pN20_in_gaa(x1)
U98_gaa(x1, x2, x3, x4)  =  U98_gaa(x1, x4)
U99_gaa(x1, x2, x3, x4)  =  U99_gaa(x1, x2, x4)
pN20_out_gaa(x1, x2, x3)  =  pN20_out_gaa(x1, x2, x3)
eN21_out_ga(x1, x2)  =  eN21_out_ga(x1, x2)
U46_ga(x1, x2, x3)  =  U46_ga(x1, x3)
pN22_in_gaa(x1, x2, x3)  =  pN22_in_gaa(x1)
U100_gaa(x1, x2, x3, x4)  =  U100_gaa(x1, x4)
U101_gaa(x1, x2, x3, x4)  =  U101_gaa(x1, x2, x4)
pN22_out_gaa(x1, x2, x3)  =  pN22_out_gaa(x1, x2, x3)
U48_ga(x1, x2, x3)  =  U48_ga(x1, x3)
pN24_in_gaa(x1, x2, x3)  =  pN24_in_gaa(x1)
U102_gaa(x1, x2, x3, x4)  =  U102_gaa(x1, x4)
U103_gaa(x1, x2, x3, x4)  =  U103_gaa(x1, x2, x4)
pN24_out_gaa(x1, x2, x3)  =  pN24_out_gaa(x1, x2, x3)
eN25_out_ga(x1, x2)  =  eN25_out_ga(x1, x2)
U50_ga(x1, x2, x3)  =  U50_ga(x1, x3)
pN26_in_gaa(x1, x2, x3)  =  pN26_in_gaa(x1)
U104_gaa(x1, x2, x3, x4)  =  U104_gaa(x1, x4)
U105_gaa(x1, x2, x3, x4)  =  U105_gaa(x1, x2, x4)
pN26_out_gaa(x1, x2, x3)  =  pN26_out_gaa(x1, x2, x3)
U52_ga(x1, x2, x3)  =  U52_ga(x1, x3)
pN28_in_gaa(x1, x2, x3)  =  pN28_in_gaa(x1)
U106_gaa(x1, x2, x3, x4)  =  U106_gaa(x1, x4)
U107_gaa(x1, x2, x3, x4)  =  U107_gaa(x1, x2, x4)
pN28_out_gaa(x1, x2, x3)  =  pN28_out_gaa(x1, x2, x3)
eF_out_ga(x1, x2)  =  eF_out_ga(x1, x2)
U54_ga(x1, x2, x3)  =  U54_ga(x1, x3)
pN29_in_gaa(x1, x2, x3)  =  pN29_in_gaa(x1)
U108_gaa(x1, x2, x3, x4)  =  U108_gaa(x1, x4)
U109_gaa(x1, x2, x3, x4)  =  U109_gaa(x1, x2, x4)
pN29_out_gaa(x1, x2, x3)  =  pN29_out_gaa(x1, x2, x3)
U59_gaa(x1, x2, x3, x4)  =  U59_gaa(x1, x2, x4)
tN30_in_ga(x1, x2)  =  tN30_in_ga(x1)
U56_ga(x1, x2, x3)  =  U56_ga(x1, x3)
tN30_out_ga(x1, x2)  =  tN30_out_ga(x1, x2)
U57_ga(x1, x2, x3)  =  U57_ga(x1, x3)
pC_out_gaa(x1, x2, x3)  =  pC_out_gaa(x1, x2, x3)
EA_IN_GA(x1, x2)  =  EA_IN_GA(x1)
U1_GA(x1, x2, x3)  =  U1_GA(x1, x3)
NB_IN_GA(x1, x2)  =  NB_IN_GA(x1)
U55_GA(x1, x2, x3)  =  U55_GA(x1, x3)
U2_GA(x1, x2, x3)  =  U2_GA(x1, x3)
PC_IN_GAA(x1, x2, x3)  =  PC_IN_GAA(x1)
U58_GAA(x1, x2, x3, x4)  =  U58_GAA(x1, x4)
NE_IN_GA(x1, x2)  =  NE_IN_GA(x1)
U4_GA(x1, x2, x3)  =  U4_GA(x1, x3)
EF_IN_GA(x1, x2)  =  EF_IN_GA(x1)
U53_GA(x1, x2, x3)  =  U53_GA(x1, x3)
TN27_IN_GA(x1, x2)  =  TN27_IN_GA(x1)
U51_GA(x1, x2, x3)  =  U51_GA(x1, x3)
EN25_IN_GA(x1, x2)  =  EN25_IN_GA(x1)
U49_GA(x1, x2, x3)  =  U49_GA(x1, x3)
TN23_IN_GA(x1, x2)  =  TN23_IN_GA(x1)
U47_GA(x1, x2, x3)  =  U47_GA(x1, x3)
EN21_IN_GA(x1, x2)  =  EN21_IN_GA(x1)
U45_GA(x1, x2, x3)  =  U45_GA(x1, x3)
TN19_IN_GA(x1, x2)  =  TN19_IN_GA(x1)
U43_GA(x1, x2, x3)  =  U43_GA(x1, x3)
EN17_IN_GA(x1, x2)  =  EN17_IN_GA(x1)
U41_GA(x1, x2, x3)  =  U41_GA(x1, x3)
TN15_IN_GA(x1, x2)  =  TN15_IN_GA(x1)
U39_GA(x1, x2, x3)  =  U39_GA(x1, x3)
EN13_IN_GA(x1, x2)  =  EN13_IN_GA(x1)
U37_GA(x1, x2, x3)  =  U37_GA(x1, x3)
TN11_IN_GA(x1, x2)  =  TN11_IN_GA(x1)
U35_GA(x1, x2, x3)  =  U35_GA(x1, x3)
EI_IN_GA(x1, x2)  =  EI_IN_GA(x1)
U7_GA(x1, x2, x3)  =  U7_GA(x1, x3)
TG_IN_GA(x1, x2)  =  TG_IN_GA(x1)
U5_GA(x1, x2, x3)  =  U5_GA(x1, x3)
U3_GA(x1, x2, x3)  =  U3_GA(x1, x3)
PD_IN_GAA(x1, x2, x3)  =  PD_IN_GAA(x1)
U110_GAA(x1, x2, x3, x4)  =  U110_GAA(x1, x4)
TM_IN_GA(x1, x2)  =  TM_IN_GA(x1)
U11_GA(x1, x2, x3)  =  U11_GA(x1, x3)
EN_IN_GA(x1, x2)  =  EN_IN_GA(x1)
U33_GA(x1, x2, x3)  =  U33_GA(x1, x3)
TN8_IN_GA(x1, x2)  =  TN8_IN_GA(x1)
U31_GA(x1, x2, x3)  =  U31_GA(x1, x3)
EN6_IN_GA(x1, x2)  =  EN6_IN_GA(x1)
U29_GA(x1, x2, x3)  =  U29_GA(x1, x3)
TN4_IN_GA(x1, x2)  =  TN4_IN_GA(x1)
U27_GA(x1, x2, x3)  =  U27_GA(x1, x3)
EN2_IN_GA(x1, x2)  =  EN2_IN_GA(x1)
U25_GA(x1, x2, x3)  =  U25_GA(x1, x3)
TZ_IN_GA(x1, x2)  =  TZ_IN_GA(x1)
U23_GA(x1, x2, x3)  =  U23_GA(x1, x3)
EX_IN_GA(x1, x2)  =  EX_IN_GA(x1)
U21_GA(x1, x2, x3)  =  U21_GA(x1, x3)
TV_IN_GA(x1, x2)  =  TV_IN_GA(x1)
U19_GA(x1, x2, x3)  =  U19_GA(x1, x3)
ET_IN_GA(x1, x2)  =  ET_IN_GA(x1)
U17_GA(x1, x2, x3)  =  U17_GA(x1, x3)
TR_IN_GA(x1, x2)  =  TR_IN_GA(x1)
U15_GA(x1, x2, x3)  =  U15_GA(x1, x3)
EP_IN_GA(x1, x2)  =  EP_IN_GA(x1)
U13_GA(x1, x2, x3)  =  U13_GA(x1, x3)
TK_IN_GA(x1, x2)  =  TK_IN_GA(x1)
U9_GA(x1, x2, x3)  =  U9_GA(x1, x3)
U10_GA(x1, x2, x3)  =  U10_GA(x1, x3)
PL_IN_GAA(x1, x2, x3)  =  PL_IN_GAA(x1)
U64_GAA(x1, x2, x3, x4)  =  U64_GAA(x1, x4)
U65_GAA(x1, x2, x3, x4)  =  U65_GAA(x1, x2, x4)
U14_GA(x1, x2, x3)  =  U14_GA(x1, x3)
PQ_IN_GAA(x1, x2, x3)  =  PQ_IN_GAA(x1)
U66_GAA(x1, x2, x3, x4)  =  U66_GAA(x1, x4)
U12_GA(x1, x2, x3)  =  U12_GA(x1, x3)
PO_IN_GAA(x1, x2, x3)  =  PO_IN_GAA(x1)
U88_GAA(x1, x2, x3, x4)  =  U88_GAA(x1, x4)
U89_GAA(x1, x2, x3, x4)  =  U89_GAA(x1, x2, x4)
U67_GAA(x1, x2, x3, x4)  =  U67_GAA(x1, x2, x4)
U16_GA(x1, x2, x3)  =  U16_GA(x1, x3)
PS_IN_GAA(x1, x2, x3)  =  PS_IN_GAA(x1)
U68_GAA(x1, x2, x3, x4)  =  U68_GAA(x1, x4)
U69_GAA(x1, x2, x3, x4)  =  U69_GAA(x1, x2, x4)
U18_GA(x1, x2, x3)  =  U18_GA(x1, x3)
PU_IN_GAA(x1, x2, x3)  =  PU_IN_GAA(x1)
U70_GAA(x1, x2, x3, x4)  =  U70_GAA(x1, x4)
U71_GAA(x1, x2, x3, x4)  =  U71_GAA(x1, x2, x4)
U20_GA(x1, x2, x3)  =  U20_GA(x1, x3)
PW_IN_GAA(x1, x2, x3)  =  PW_IN_GAA(x1)
U72_GAA(x1, x2, x3, x4)  =  U72_GAA(x1, x4)
U73_GAA(x1, x2, x3, x4)  =  U73_GAA(x1, x2, x4)
U22_GA(x1, x2, x3)  =  U22_GA(x1, x3)
PY_IN_GAA(x1, x2, x3)  =  PY_IN_GAA(x1)
U74_GAA(x1, x2, x3, x4)  =  U74_GAA(x1, x4)
U75_GAA(x1, x2, x3, x4)  =  U75_GAA(x1, x2, x4)
U24_GA(x1, x2, x3)  =  U24_GA(x1, x3)
PN1_IN_GAA(x1, x2, x3)  =  PN1_IN_GAA(x1)
U76_GAA(x1, x2, x3, x4)  =  U76_GAA(x1, x4)
U77_GAA(x1, x2, x3, x4)  =  U77_GAA(x1, x2, x4)
U26_GA(x1, x2, x3)  =  U26_GA(x1, x3)
PN3_IN_GAA(x1, x2, x3)  =  PN3_IN_GAA(x1)
U78_GAA(x1, x2, x3, x4)  =  U78_GAA(x1, x4)
U79_GAA(x1, x2, x3, x4)  =  U79_GAA(x1, x2, x4)
U28_GA(x1, x2, x3)  =  U28_GA(x1, x3)
PN5_IN_GAA(x1, x2, x3)  =  PN5_IN_GAA(x1)
U80_GAA(x1, x2, x3, x4)  =  U80_GAA(x1, x4)
U81_GAA(x1, x2, x3, x4)  =  U81_GAA(x1, x2, x4)
U30_GA(x1, x2, x3)  =  U30_GA(x1, x3)
PN7_IN_GAA(x1, x2, x3)  =  PN7_IN_GAA(x1)
U82_GAA(x1, x2, x3, x4)  =  U82_GAA(x1, x4)
U83_GAA(x1, x2, x3, x4)  =  U83_GAA(x1, x2, x4)
U32_GA(x1, x2, x3)  =  U32_GA(x1, x3)
PN9_IN_GAA(x1, x2, x3)  =  PN9_IN_GAA(x1)
U84_GAA(x1, x2, x3, x4)  =  U84_GAA(x1, x4)
U85_GAA(x1, x2, x3, x4)  =  U85_GAA(x1, x2, x4)
U34_GA(x1, x2, x3)  =  U34_GA(x1, x3)
PN10_IN_GAA(x1, x2, x3)  =  PN10_IN_GAA(x1)
U86_GAA(x1, x2, x3, x4)  =  U86_GAA(x1, x4)
U87_GAA(x1, x2, x3, x4)  =  U87_GAA(x1, x2, x4)
U111_GAA(x1, x2, x3, x4)  =  U111_GAA(x1, x2, x4)
U6_GA(x1, x2, x3)  =  U6_GA(x1, x3)
PH_IN_GAA(x1, x2, x3)  =  PH_IN_GAA(x1)
U60_GAA(x1, x2, x3, x4)  =  U60_GAA(x1, x4)
U61_GAA(x1, x2, x3, x4)  =  U61_GAA(x1, x2, x4)
U8_GA(x1, x2, x3)  =  U8_GA(x1, x3)
PJ_IN_GAA(x1, x2, x3)  =  PJ_IN_GAA(x1)
U62_GAA(x1, x2, x3, x4)  =  U62_GAA(x1, x4)
U63_GAA(x1, x2, x3, x4)  =  U63_GAA(x1, x2, x4)
U36_GA(x1, x2, x3)  =  U36_GA(x1, x3)
PN12_IN_GAA(x1, x2, x3)  =  PN12_IN_GAA(x1)
U90_GAA(x1, x2, x3, x4)  =  U90_GAA(x1, x4)
U91_GAA(x1, x2, x3, x4)  =  U91_GAA(x1, x2, x4)
U38_GA(x1, x2, x3)  =  U38_GA(x1, x3)
PN14_IN_GAA(x1, x2, x3)  =  PN14_IN_GAA(x1)
U92_GAA(x1, x2, x3, x4)  =  U92_GAA(x1, x4)
U93_GAA(x1, x2, x3, x4)  =  U93_GAA(x1, x2, x4)
U40_GA(x1, x2, x3)  =  U40_GA(x1, x3)
PN16_IN_GAA(x1, x2, x3)  =  PN16_IN_GAA(x1)
U94_GAA(x1, x2, x3, x4)  =  U94_GAA(x1, x4)
U95_GAA(x1, x2, x3, x4)  =  U95_GAA(x1, x2, x4)
U42_GA(x1, x2, x3)  =  U42_GA(x1, x3)
PN18_IN_GAA(x1, x2, x3)  =  PN18_IN_GAA(x1)
U96_GAA(x1, x2, x3, x4)  =  U96_GAA(x1, x4)
U97_GAA(x1, x2, x3, x4)  =  U97_GAA(x1, x2, x4)
U44_GA(x1, x2, x3)  =  U44_GA(x1, x3)
PN20_IN_GAA(x1, x2, x3)  =  PN20_IN_GAA(x1)
U98_GAA(x1, x2, x3, x4)  =  U98_GAA(x1, x4)
U99_GAA(x1, x2, x3, x4)  =  U99_GAA(x1, x2, x4)
U46_GA(x1, x2, x3)  =  U46_GA(x1, x3)
PN22_IN_GAA(x1, x2, x3)  =  PN22_IN_GAA(x1)
U100_GAA(x1, x2, x3, x4)  =  U100_GAA(x1, x4)
U101_GAA(x1, x2, x3, x4)  =  U101_GAA(x1, x2, x4)
U48_GA(x1, x2, x3)  =  U48_GA(x1, x3)
PN24_IN_GAA(x1, x2, x3)  =  PN24_IN_GAA(x1)
U102_GAA(x1, x2, x3, x4)  =  U102_GAA(x1, x4)
U103_GAA(x1, x2, x3, x4)  =  U103_GAA(x1, x2, x4)
U50_GA(x1, x2, x3)  =  U50_GA(x1, x3)
PN26_IN_GAA(x1, x2, x3)  =  PN26_IN_GAA(x1)
U104_GAA(x1, x2, x3, x4)  =  U104_GAA(x1, x4)
U105_GAA(x1, x2, x3, x4)  =  U105_GAA(x1, x2, x4)
U52_GA(x1, x2, x3)  =  U52_GA(x1, x3)
PN28_IN_GAA(x1, x2, x3)  =  PN28_IN_GAA(x1)
U106_GAA(x1, x2, x3, x4)  =  U106_GAA(x1, x4)
U107_GAA(x1, x2, x3, x4)  =  U107_GAA(x1, x2, x4)
U54_GA(x1, x2, x3)  =  U54_GA(x1, x3)
PN29_IN_GAA(x1, x2, x3)  =  PN29_IN_GAA(x1)
U108_GAA(x1, x2, x3, x4)  =  U108_GAA(x1, x4)
U109_GAA(x1, x2, x3, x4)  =  U109_GAA(x1, x2, x4)
U59_GAA(x1, x2, x3, x4)  =  U59_GAA(x1, x2, x4)
TN30_IN_GA(x1, x2)  =  TN30_IN_GA(x1)
U56_GA(x1, x2, x3)  =  U56_GA(x1, x3)
U57_GA(x1, x2, x3)  =  U57_GA(x1, x3)

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

(5) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 1 SCC with 84 less nodes.

(6) Obligation:

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

EA_IN_GA(T22, T24) → NB_IN_GA(T22, T24)
NB_IN_GA(.(lbrace, T41), T43) → EA_IN_GA(T41, .(rbrace, T43))
EA_IN_GA(T62, T64) → PC_IN_GAA(T62, X55, T64)
PC_IN_GAA(T62, T68, T64) → U58_GAA(T62, T68, T64, nE_in_ga(T62, T68))
U58_GAA(T62, T68, T64, nE_out_ga(T62, T68)) → TN30_IN_GA(T68, T64)
TN30_IN_GA(T916, T918) → NB_IN_GA(T916, T918)
TN30_IN_GA(T929, T931) → PC_IN_GAA(T929, X1496, T931)
PC_IN_GAA(T62, T68, T64) → NE_IN_GA(T62, T68)
NE_IN_GA(.(lbrace, T89), X78) → EF_IN_GA(T89, X78)
EF_IN_GA(T97, X102) → TN27_IN_GA(T97, X102)
TN27_IN_GA(.(lbrace, T130), X145) → EN25_IN_GA(T130, X145)
EN25_IN_GA(T138, X169) → TN23_IN_GA(T138, X169)
TN23_IN_GA(.(lbrace, T171), X212) → EN21_IN_GA(T171, X212)
EN21_IN_GA(T179, X236) → TN19_IN_GA(T179, X236)
TN19_IN_GA(.(lbrace, T212), X279) → EN17_IN_GA(T212, X279)
EN17_IN_GA(T220, X303) → TN15_IN_GA(T220, X303)
TN15_IN_GA(.(lbrace, T253), X346) → EN13_IN_GA(T253, X346)
EN13_IN_GA(T261, X370) → TN11_IN_GA(T261, X370)
TN11_IN_GA(.(lbrace, T294), X413) → EI_IN_GA(T294, X413)
EI_IN_GA(T302, X437) → TG_IN_GA(T302, X437)
TG_IN_GA(.(lbrace, T335), X480) → EA_IN_GA(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))
EA_IN_GA(T941, T943) → PD_IN_GAA(T941, X1509, T943)
PD_IN_GAA(T941, T945, T943) → U110_GAA(T941, T945, T943, tM_in_ga(T941, T945))
U110_GAA(T941, T945, T943, tM_out_ga(T941, T945)) → EA_IN_GA(T945, T943)
PD_IN_GAA(T941, T945, T943) → TM_IN_GA(T941, T945)
TM_IN_GA(.(lbrace, T392), X565) → EN_IN_GA(T392, X565)
EN_IN_GA(T400, X589) → TN8_IN_GA(T400, X589)
TN8_IN_GA(.(lbrace, T433), X632) → EN6_IN_GA(T433, X632)
EN6_IN_GA(T441, X656) → TN4_IN_GA(T441, X656)
TN4_IN_GA(.(lbrace, T474), X699) → EN2_IN_GA(T474, X699)
EN2_IN_GA(T482, X723) → TZ_IN_GA(T482, X723)
TZ_IN_GA(.(lbrace, T515), X766) → EX_IN_GA(T515, X766)
EX_IN_GA(T523, X790) → TV_IN_GA(T523, X790)
TV_IN_GA(.(lbrace, T556), X833) → ET_IN_GA(T556, X833)
ET_IN_GA(T564, X857) → TR_IN_GA(T564, X857)
TR_IN_GA(.(lbrace, T597), X900) → EP_IN_GA(T597, X900)
EP_IN_GA(T605, X924) → TK_IN_GA(T605, X924)
TK_IN_GA(.(lbrace, T638), X967) → EA_IN_GA(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))
TK_IN_GA(T648, X985) → PL_IN_GAA(T648, X984, X985)
PL_IN_GAA(T648, T652, X985) → U64_GAA(T648, T652, X985, nE_in_ga(T648, T652))
U64_GAA(T648, T652, X985, nE_out_ga(T648, T652)) → TK_IN_GA(T652, X985)
PL_IN_GAA(T648, T652, X985) → NE_IN_GA(T648, T652)
EP_IN_GA(T660, X1006) → PQ_IN_GAA(T660, X1005, X1006)
PQ_IN_GAA(T660, T662, X1006) → U66_GAA(T660, T662, X1006, tM_in_ga(T660, T662))
U66_GAA(T660, T662, X1006, tM_out_ga(T660, T662)) → EP_IN_GA(T662, X1006)
PQ_IN_GAA(T660, T662, X1006) → TM_IN_GA(T660, T662)
TM_IN_GA(T780, X1243) → PO_IN_GAA(T780, X1242, X1243)
PO_IN_GAA(T780, T784, X1243) → U88_GAA(T780, T784, X1243, nE_in_ga(T780, T784))
U88_GAA(T780, T784, X1243, nE_out_ga(T780, T784)) → TM_IN_GA(T784, X1243)
PO_IN_GAA(T780, T784, X1243) → NE_IN_GA(T780, T784)
TR_IN_GA(T670, X1028) → PS_IN_GAA(T670, X1027, X1028)
PS_IN_GAA(T670, T674, X1028) → U68_GAA(T670, T674, X1028, nE_in_ga(T670, T674))
U68_GAA(T670, T674, X1028, nE_out_ga(T670, T674)) → TR_IN_GA(T674, X1028)
PS_IN_GAA(T670, T674, X1028) → NE_IN_GA(T670, T674)
ET_IN_GA(T682, X1049) → PU_IN_GAA(T682, X1048, X1049)
PU_IN_GAA(T682, T684, X1049) → U70_GAA(T682, T684, X1049, tM_in_ga(T682, T684))
U70_GAA(T682, T684, X1049, tM_out_ga(T682, T684)) → ET_IN_GA(T684, X1049)
PU_IN_GAA(T682, T684, X1049) → TM_IN_GA(T682, T684)
TV_IN_GA(T692, X1071) → PW_IN_GAA(T692, X1070, X1071)
PW_IN_GAA(T692, T696, X1071) → U72_GAA(T692, T696, X1071, nE_in_ga(T692, T696))
U72_GAA(T692, T696, X1071, nE_out_ga(T692, T696)) → TV_IN_GA(T696, X1071)
PW_IN_GAA(T692, T696, X1071) → NE_IN_GA(T692, T696)
EX_IN_GA(T704, X1092) → PY_IN_GAA(T704, X1091, X1092)
PY_IN_GAA(T704, T706, X1092) → U74_GAA(T704, T706, X1092, tM_in_ga(T704, T706))
U74_GAA(T704, T706, X1092, tM_out_ga(T704, T706)) → EX_IN_GA(T706, X1092)
PY_IN_GAA(T704, T706, X1092) → TM_IN_GA(T704, T706)
TZ_IN_GA(T714, X1114) → PN1_IN_GAA(T714, X1113, X1114)
PN1_IN_GAA(T714, T718, X1114) → U76_GAA(T714, T718, X1114, nE_in_ga(T714, T718))
U76_GAA(T714, T718, X1114, nE_out_ga(T714, T718)) → TZ_IN_GA(T718, X1114)
PN1_IN_GAA(T714, T718, X1114) → NE_IN_GA(T714, T718)
EN2_IN_GA(T726, X1135) → PN3_IN_GAA(T726, X1134, X1135)
PN3_IN_GAA(T726, T728, X1135) → U78_GAA(T726, T728, X1135, tM_in_ga(T726, T728))
U78_GAA(T726, T728, X1135, tM_out_ga(T726, T728)) → EN2_IN_GA(T728, X1135)
PN3_IN_GAA(T726, T728, X1135) → TM_IN_GA(T726, T728)
TN4_IN_GA(T736, X1157) → PN5_IN_GAA(T736, X1156, X1157)
PN5_IN_GAA(T736, T740, X1157) → U80_GAA(T736, T740, X1157, nE_in_ga(T736, T740))
U80_GAA(T736, T740, X1157, nE_out_ga(T736, T740)) → TN4_IN_GA(T740, X1157)
PN5_IN_GAA(T736, T740, X1157) → NE_IN_GA(T736, T740)
EN6_IN_GA(T748, X1178) → PN7_IN_GAA(T748, X1177, X1178)
PN7_IN_GAA(T748, T750, X1178) → U82_GAA(T748, T750, X1178, tM_in_ga(T748, T750))
U82_GAA(T748, T750, X1178, tM_out_ga(T748, T750)) → EN6_IN_GA(T750, X1178)
PN7_IN_GAA(T748, T750, X1178) → TM_IN_GA(T748, T750)
TN8_IN_GA(T758, X1200) → PN9_IN_GAA(T758, X1199, X1200)
PN9_IN_GAA(T758, T762, X1200) → U84_GAA(T758, T762, X1200, nE_in_ga(T758, T762))
U84_GAA(T758, T762, X1200, nE_out_ga(T758, T762)) → TN8_IN_GA(T762, X1200)
PN9_IN_GAA(T758, T762, X1200) → NE_IN_GA(T758, T762)
EN_IN_GA(T770, X1221) → PN10_IN_GAA(T770, X1220, X1221)
PN10_IN_GAA(T770, T772, X1221) → U86_GAA(T770, T772, X1221, tM_in_ga(T770, T772))
U86_GAA(T770, T772, X1221, tM_out_ga(T770, T772)) → EN_IN_GA(T772, X1221)
PN10_IN_GAA(T770, T772, X1221) → TM_IN_GA(T770, T772)
TG_IN_GA(T345, X498) → PH_IN_GAA(T345, X497, X498)
PH_IN_GAA(T345, T349, X498) → U60_GAA(T345, T349, X498, nE_in_ga(T345, T349))
U60_GAA(T345, T349, X498, nE_out_ga(T345, T349)) → TG_IN_GA(T349, X498)
PH_IN_GAA(T345, T349, X498) → NE_IN_GA(T345, T349)
EI_IN_GA(T357, X519) → PJ_IN_GAA(T357, X518, X519)
PJ_IN_GAA(T357, T359, X519) → U62_GAA(T357, T359, X519, tM_in_ga(T357, T359))
U62_GAA(T357, T359, X519, tM_out_ga(T357, T359)) → EI_IN_GA(T359, X519)
PJ_IN_GAA(T357, T359, X519) → TM_IN_GA(T357, T359)
TN11_IN_GA(T795, X1266) → PN12_IN_GAA(T795, X1265, X1266)
PN12_IN_GAA(T795, T799, X1266) → U90_GAA(T795, T799, X1266, nE_in_ga(T795, T799))
U90_GAA(T795, T799, X1266, nE_out_ga(T795, T799)) → TN11_IN_GA(T799, X1266)
PN12_IN_GAA(T795, T799, X1266) → NE_IN_GA(T795, T799)
EN13_IN_GA(T807, X1287) → PN14_IN_GAA(T807, X1286, X1287)
PN14_IN_GAA(T807, T809, X1287) → U92_GAA(T807, T809, X1287, tM_in_ga(T807, T809))
U92_GAA(T807, T809, X1287, tM_out_ga(T807, T809)) → EN13_IN_GA(T809, X1287)
PN14_IN_GAA(T807, T809, X1287) → TM_IN_GA(T807, T809)
TN15_IN_GA(T817, X1309) → PN16_IN_GAA(T817, X1308, X1309)
PN16_IN_GAA(T817, T821, X1309) → U94_GAA(T817, T821, X1309, nE_in_ga(T817, T821))
U94_GAA(T817, T821, X1309, nE_out_ga(T817, T821)) → TN15_IN_GA(T821, X1309)
PN16_IN_GAA(T817, T821, X1309) → NE_IN_GA(T817, T821)
EN17_IN_GA(T829, X1330) → PN18_IN_GAA(T829, X1329, X1330)
PN18_IN_GAA(T829, T831, X1330) → U96_GAA(T829, T831, X1330, tM_in_ga(T829, T831))
U96_GAA(T829, T831, X1330, tM_out_ga(T829, T831)) → EN17_IN_GA(T831, X1330)
PN18_IN_GAA(T829, T831, X1330) → TM_IN_GA(T829, T831)
TN19_IN_GA(T839, X1352) → PN20_IN_GAA(T839, X1351, X1352)
PN20_IN_GAA(T839, T843, X1352) → U98_GAA(T839, T843, X1352, nE_in_ga(T839, T843))
U98_GAA(T839, T843, X1352, nE_out_ga(T839, T843)) → TN19_IN_GA(T843, X1352)
PN20_IN_GAA(T839, T843, X1352) → NE_IN_GA(T839, T843)
EN21_IN_GA(T851, X1373) → PN22_IN_GAA(T851, X1372, X1373)
PN22_IN_GAA(T851, T853, X1373) → U100_GAA(T851, T853, X1373, tM_in_ga(T851, T853))
U100_GAA(T851, T853, X1373, tM_out_ga(T851, T853)) → EN21_IN_GA(T853, X1373)
PN22_IN_GAA(T851, T853, X1373) → TM_IN_GA(T851, T853)
TN23_IN_GA(T861, X1395) → PN24_IN_GAA(T861, X1394, X1395)
PN24_IN_GAA(T861, T865, X1395) → U102_GAA(T861, T865, X1395, nE_in_ga(T861, T865))
U102_GAA(T861, T865, X1395, nE_out_ga(T861, T865)) → TN23_IN_GA(T865, X1395)
PN24_IN_GAA(T861, T865, X1395) → NE_IN_GA(T861, T865)
EN25_IN_GA(T873, X1416) → PN26_IN_GAA(T873, X1415, X1416)
PN26_IN_GAA(T873, T875, X1416) → U104_GAA(T873, T875, X1416, tM_in_ga(T873, T875))
U104_GAA(T873, T875, X1416, tM_out_ga(T873, T875)) → EN25_IN_GA(T875, X1416)
PN26_IN_GAA(T873, T875, X1416) → TM_IN_GA(T873, T875)
TN27_IN_GA(T883, X1438) → PN28_IN_GAA(T883, X1437, X1438)
PN28_IN_GAA(T883, T887, X1438) → U106_GAA(T883, T887, X1438, nE_in_ga(T883, T887))
U106_GAA(T883, T887, X1438, nE_out_ga(T883, T887)) → TN27_IN_GA(T887, X1438)
PN28_IN_GAA(T883, T887, X1438) → NE_IN_GA(T883, T887)
EF_IN_GA(T895, X1459) → PN29_IN_GAA(T895, X1458, X1459)
PN29_IN_GAA(T895, T897, X1459) → U108_GAA(T895, T897, X1459, tM_in_ga(T895, T897))
U108_GAA(T895, T897, X1459, tM_out_ga(T895, T897)) → EF_IN_GA(T897, X1459)
PN29_IN_GAA(T895, T897, X1459) → TM_IN_GA(T895, T897)

The TRS R consists of the following rules:

eA_in_ga(T22, T24) → U1_ga(T22, T24, nB_in_ga(T22, T24))
nB_in_ga(.(a, T36), T36) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36), T36) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36), T36) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41), T43) → U55_ga(T41, T43, eA_in_ga(T41, .(rbrace, T43)))
eA_in_ga(T62, T64) → U2_ga(T62, T64, pC_in_gaa(T62, X55, T64))
pC_in_gaa(T62, T68, T64) → U58_gaa(T62, T68, T64, nE_in_ga(T62, T68))
nE_in_ga(.(a, .(star, T86)), T86) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86)), T86) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86)), T86) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89), X78) → U4_ga(T89, X78, eF_in_ga(T89, X78))
eF_in_ga(T97, X102) → U53_ga(T97, X102, tN27_in_ga(T97, X102))
tN27_in_ga(.(a, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127))), T127) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130), X145) → U51_ga(T130, X145, eN25_in_ga(T130, X145))
eN25_in_ga(T138, X169) → U49_ga(T138, X169, tN23_in_ga(T138, X169))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171), X212) → U47_ga(T171, X212, eN21_in_ga(T171, X212))
eN21_in_ga(T179, X236) → U45_ga(T179, X236, tN19_in_ga(T179, X236))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212), X279) → U43_ga(T212, X279, eN17_in_ga(T212, X279))
eN17_in_ga(T220, X303) → U41_ga(T220, X303, tN15_in_ga(T220, X303))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253), X346) → U39_ga(T253, X346, eN13_in_ga(T253, X346))
eN13_in_ga(T261, X370) → U37_ga(T261, X370, tN11_in_ga(T261, X370))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294), X413) → U35_ga(T294, X413, eI_in_ga(T294, X413))
eI_in_ga(T302, X437) → U7_ga(T302, X437, tG_in_ga(T302, X437))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335), X480) → U5_ga(T335, X480, eA_in_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480))))))))))
eA_in_ga(T941, T943) → U3_ga(T941, T943, pD_in_gaa(T941, X1509, T943))
pD_in_gaa(T941, T945, T943) → U110_gaa(T941, T945, T943, tM_in_ga(T941, T945))
tM_in_ga(.(a, .(plus, T389)), T389) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389)), T389) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389)), T389) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392), X565) → U11_ga(T392, X565, eN_in_ga(T392, X565))
eN_in_ga(T400, X589) → U33_ga(T400, X589, tN8_in_ga(T400, X589))
tN8_in_ga(.(a, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430))), T430) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433), X632) → U31_ga(T433, X632, eN6_in_ga(T433, X632))
eN6_in_ga(T441, X656) → U29_ga(T441, X656, tN4_in_ga(T441, X656))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474), X699) → U27_ga(T474, X699, eN2_in_ga(T474, X699))
eN2_in_ga(T482, X723) → U25_ga(T482, X723, tZ_in_ga(T482, X723))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515), X766) → U23_ga(T515, X766, eX_in_ga(T515, X766))
eX_in_ga(T523, X790) → U21_ga(T523, X790, tV_in_ga(T523, X790))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556), X833) → U19_ga(T556, X833, eT_in_ga(T556, X833))
eT_in_ga(T564, X857) → U17_ga(T564, X857, tR_in_ga(T564, X857))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597), X900) → U15_ga(T597, X900, eP_in_ga(T597, X900))
eP_in_ga(T605, X924) → U13_ga(T605, X924, tK_in_ga(T605, X924))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638), X967) → U9_ga(T638, X967, eA_in_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967))))))))))
U9_ga(T638, X967, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648, X985) → U10_ga(T648, X985, pL_in_gaa(T648, X984, X985))
pL_in_gaa(T648, T652, X985) → U64_gaa(T648, T652, X985, nE_in_ga(T648, T652))
U64_gaa(T648, T652, X985, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, X985, tK_in_ga(T652, X985))
U65_gaa(T648, T652, X985, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, X985, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, X924, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660, X1006) → U14_ga(T660, X1006, pQ_in_gaa(T660, X1005, X1006))
pQ_in_gaa(T660, T662, X1006) → U66_gaa(T660, T662, X1006, tM_in_ga(T660, T662))
tM_in_ga(T780, X1243) → U12_ga(T780, X1243, pO_in_gaa(T780, X1242, X1243))
pO_in_gaa(T780, T784, X1243) → U88_gaa(T780, T784, X1243, nE_in_ga(T780, T784))
U88_gaa(T780, T784, X1243, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, X1243, tM_in_ga(T784, X1243))
U89_gaa(T780, T784, X1243, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, X1243, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, T662, X1006, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, X1006, eP_in_ga(T662, X1006))
U67_gaa(T660, T662, X1006, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, X1006, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, X900, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670, X1028) → U16_ga(T670, X1028, pS_in_gaa(T670, X1027, X1028))
pS_in_gaa(T670, T674, X1028) → U68_gaa(T670, T674, X1028, nE_in_ga(T670, T674))
U68_gaa(T670, T674, X1028, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, X1028, tR_in_ga(T674, X1028))
U69_gaa(T670, T674, X1028, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, X1028, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, X857, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682, X1049) → U18_ga(T682, X1049, pU_in_gaa(T682, X1048, X1049))
pU_in_gaa(T682, T684, X1049) → U70_gaa(T682, T684, X1049, tM_in_ga(T682, T684))
U70_gaa(T682, T684, X1049, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, X1049, eT_in_ga(T684, X1049))
U71_gaa(T682, T684, X1049, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, X1049, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, X833, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692, X1071) → U20_ga(T692, X1071, pW_in_gaa(T692, X1070, X1071))
pW_in_gaa(T692, T696, X1071) → U72_gaa(T692, T696, X1071, nE_in_ga(T692, T696))
U72_gaa(T692, T696, X1071, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, X1071, tV_in_ga(T696, X1071))
U73_gaa(T692, T696, X1071, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, X1071, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, X790, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704, X1092) → U22_ga(T704, X1092, pY_in_gaa(T704, X1091, X1092))
pY_in_gaa(T704, T706, X1092) → U74_gaa(T704, T706, X1092, tM_in_ga(T704, T706))
U74_gaa(T704, T706, X1092, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, X1092, eX_in_ga(T706, X1092))
U75_gaa(T704, T706, X1092, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, X1092, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, X766, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714, X1114) → U24_ga(T714, X1114, pN1_in_gaa(T714, X1113, X1114))
pN1_in_gaa(T714, T718, X1114) → U76_gaa(T714, T718, X1114, nE_in_ga(T714, T718))
U76_gaa(T714, T718, X1114, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, X1114, tZ_in_ga(T718, X1114))
U77_gaa(T714, T718, X1114, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, X1114, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, X723, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726, X1135) → U26_ga(T726, X1135, pN3_in_gaa(T726, X1134, X1135))
pN3_in_gaa(T726, T728, X1135) → U78_gaa(T726, T728, X1135, tM_in_ga(T726, T728))
U78_gaa(T726, T728, X1135, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, X1135, eN2_in_ga(T728, X1135))
U79_gaa(T726, T728, X1135, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, X1135, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, X699, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736, X1157) → U28_ga(T736, X1157, pN5_in_gaa(T736, X1156, X1157))
pN5_in_gaa(T736, T740, X1157) → U80_gaa(T736, T740, X1157, nE_in_ga(T736, T740))
U80_gaa(T736, T740, X1157, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, X1157, tN4_in_ga(T740, X1157))
U81_gaa(T736, T740, X1157, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, X1157, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, X656, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748, X1178) → U30_ga(T748, X1178, pN7_in_gaa(T748, X1177, X1178))
pN7_in_gaa(T748, T750, X1178) → U82_gaa(T748, T750, X1178, tM_in_ga(T748, T750))
U82_gaa(T748, T750, X1178, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, X1178, eN6_in_ga(T750, X1178))
U83_gaa(T748, T750, X1178, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, X1178, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, X632, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758, X1200) → U32_ga(T758, X1200, pN9_in_gaa(T758, X1199, X1200))
pN9_in_gaa(T758, T762, X1200) → U84_gaa(T758, T762, X1200, nE_in_ga(T758, T762))
U84_gaa(T758, T762, X1200, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, X1200, tN8_in_ga(T762, X1200))
U85_gaa(T758, T762, X1200, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, X1200, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, X589, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770, X1221) → U34_ga(T770, X1221, pN10_in_gaa(T770, X1220, X1221))
pN10_in_gaa(T770, T772, X1221) → U86_gaa(T770, T772, X1221, tM_in_ga(T770, T772))
U86_gaa(T770, T772, X1221, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, X1221, eN_in_ga(T772, X1221))
U87_gaa(T770, T772, X1221, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, X1221, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, X565, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, T945, T943, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, T943, eA_in_ga(T945, T943))
U111_gaa(T941, T945, T943, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, T943, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, X480, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345, X498) → U6_ga(T345, X498, pH_in_gaa(T345, X497, X498))
pH_in_gaa(T345, T349, X498) → U60_gaa(T345, T349, X498, nE_in_ga(T345, T349))
U60_gaa(T345, T349, X498, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, X498, tG_in_ga(T349, X498))
U61_gaa(T345, T349, X498, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, X498, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, X437, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357, X519) → U8_ga(T357, X519, pJ_in_gaa(T357, X518, X519))
pJ_in_gaa(T357, T359, X519) → U62_gaa(T357, T359, X519, tM_in_ga(T357, T359))
U62_gaa(T357, T359, X519, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, X519, eI_in_ga(T359, X519))
U63_gaa(T357, T359, X519, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, X519, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, X413, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795, X1266) → U36_ga(T795, X1266, pN12_in_gaa(T795, X1265, X1266))
pN12_in_gaa(T795, T799, X1266) → U90_gaa(T795, T799, X1266, nE_in_ga(T795, T799))
U90_gaa(T795, T799, X1266, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, X1266, tN11_in_ga(T799, X1266))
U91_gaa(T795, T799, X1266, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, X1266, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, X370, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807, X1287) → U38_ga(T807, X1287, pN14_in_gaa(T807, X1286, X1287))
pN14_in_gaa(T807, T809, X1287) → U92_gaa(T807, T809, X1287, tM_in_ga(T807, T809))
U92_gaa(T807, T809, X1287, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, X1287, eN13_in_ga(T809, X1287))
U93_gaa(T807, T809, X1287, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, X1287, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, X346, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817, X1309) → U40_ga(T817, X1309, pN16_in_gaa(T817, X1308, X1309))
pN16_in_gaa(T817, T821, X1309) → U94_gaa(T817, T821, X1309, nE_in_ga(T817, T821))
U94_gaa(T817, T821, X1309, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, X1309, tN15_in_ga(T821, X1309))
U95_gaa(T817, T821, X1309, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, X1309, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, X303, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829, X1330) → U42_ga(T829, X1330, pN18_in_gaa(T829, X1329, X1330))
pN18_in_gaa(T829, T831, X1330) → U96_gaa(T829, T831, X1330, tM_in_ga(T829, T831))
U96_gaa(T829, T831, X1330, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, X1330, eN17_in_ga(T831, X1330))
U97_gaa(T829, T831, X1330, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, X1330, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, X279, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839, X1352) → U44_ga(T839, X1352, pN20_in_gaa(T839, X1351, X1352))
pN20_in_gaa(T839, T843, X1352) → U98_gaa(T839, T843, X1352, nE_in_ga(T839, T843))
U98_gaa(T839, T843, X1352, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, X1352, tN19_in_ga(T843, X1352))
U99_gaa(T839, T843, X1352, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, X1352, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, X236, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851, X1373) → U46_ga(T851, X1373, pN22_in_gaa(T851, X1372, X1373))
pN22_in_gaa(T851, T853, X1373) → U100_gaa(T851, T853, X1373, tM_in_ga(T851, T853))
U100_gaa(T851, T853, X1373, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, X1373, eN21_in_ga(T853, X1373))
U101_gaa(T851, T853, X1373, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, X1373, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, X212, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861, X1395) → U48_ga(T861, X1395, pN24_in_gaa(T861, X1394, X1395))
pN24_in_gaa(T861, T865, X1395) → U102_gaa(T861, T865, X1395, nE_in_ga(T861, T865))
U102_gaa(T861, T865, X1395, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, X1395, tN23_in_ga(T865, X1395))
U103_gaa(T861, T865, X1395, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, X1395, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, X169, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873, X1416) → U50_ga(T873, X1416, pN26_in_gaa(T873, X1415, X1416))
pN26_in_gaa(T873, T875, X1416) → U104_gaa(T873, T875, X1416, tM_in_ga(T873, T875))
U104_gaa(T873, T875, X1416, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, X1416, eN25_in_ga(T875, X1416))
U105_gaa(T873, T875, X1416, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, X1416, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, X145, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883, X1438) → U52_ga(T883, X1438, pN28_in_gaa(T883, X1437, X1438))
pN28_in_gaa(T883, T887, X1438) → U106_gaa(T883, T887, X1438, nE_in_ga(T883, T887))
U106_gaa(T883, T887, X1438, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, X1438, tN27_in_ga(T887, X1438))
U107_gaa(T883, T887, X1438, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, X1438, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, X102, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895, X1459) → U54_ga(T895, X1459, pN29_in_gaa(T895, X1458, X1459))
pN29_in_gaa(T895, T897, X1459) → U108_gaa(T895, T897, X1459, tM_in_ga(T895, T897))
U108_gaa(T895, T897, X1459, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, X1459, eF_in_ga(T897, X1459))
U109_gaa(T895, T897, X1459, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, X1459, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, X78, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, T68, T64, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, T64, tN30_in_ga(T68, T64))
tN30_in_ga(T916, T918) → U56_ga(T916, T918, nB_in_ga(T916, T918))
U56_ga(T916, T918, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929, T931) → U57_ga(T929, T931, pC_in_gaa(T929, X1496, T931))
U57_ga(T929, T931, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, T64, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, T64, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, T43, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, T24, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The argument filtering Pi contains the following mapping:
eA_in_ga(x1, x2)  =  eA_in_ga(x1)
U1_ga(x1, x2, x3)  =  U1_ga(x1, x3)
nB_in_ga(x1, x2)  =  nB_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
a  =  a
nB_out_ga(x1, x2)  =  nB_out_ga(x1, x2)
b  =  b
c  =  c
lbrace  =  lbrace
U55_ga(x1, x2, x3)  =  U55_ga(x1, x3)
U2_ga(x1, x2, x3)  =  U2_ga(x1, x3)
pC_in_gaa(x1, x2, x3)  =  pC_in_gaa(x1)
U58_gaa(x1, x2, x3, x4)  =  U58_gaa(x1, x4)
nE_in_ga(x1, x2)  =  nE_in_ga(x1)
star  =  star
nE_out_ga(x1, x2)  =  nE_out_ga(x1, x2)
U4_ga(x1, x2, x3)  =  U4_ga(x1, x3)
eF_in_ga(x1, x2)  =  eF_in_ga(x1)
U53_ga(x1, x2, x3)  =  U53_ga(x1, x3)
tN27_in_ga(x1, x2)  =  tN27_in_ga(x1)
rbrace  =  rbrace
tN27_out_ga(x1, x2)  =  tN27_out_ga(x1, x2)
U51_ga(x1, x2, x3)  =  U51_ga(x1, x3)
eN25_in_ga(x1, x2)  =  eN25_in_ga(x1)
U49_ga(x1, x2, x3)  =  U49_ga(x1, x3)
tN23_in_ga(x1, x2)  =  tN23_in_ga(x1)
tN23_out_ga(x1, x2)  =  tN23_out_ga(x1, x2)
U47_ga(x1, x2, x3)  =  U47_ga(x1, x3)
eN21_in_ga(x1, x2)  =  eN21_in_ga(x1)
U45_ga(x1, x2, x3)  =  U45_ga(x1, x3)
tN19_in_ga(x1, x2)  =  tN19_in_ga(x1)
tN19_out_ga(x1, x2)  =  tN19_out_ga(x1, x2)
U43_ga(x1, x2, x3)  =  U43_ga(x1, x3)
eN17_in_ga(x1, x2)  =  eN17_in_ga(x1)
U41_ga(x1, x2, x3)  =  U41_ga(x1, x3)
tN15_in_ga(x1, x2)  =  tN15_in_ga(x1)
tN15_out_ga(x1, x2)  =  tN15_out_ga(x1, x2)
U39_ga(x1, x2, x3)  =  U39_ga(x1, x3)
eN13_in_ga(x1, x2)  =  eN13_in_ga(x1)
U37_ga(x1, x2, x3)  =  U37_ga(x1, x3)
tN11_in_ga(x1, x2)  =  tN11_in_ga(x1)
tN11_out_ga(x1, x2)  =  tN11_out_ga(x1, x2)
U35_ga(x1, x2, x3)  =  U35_ga(x1, x3)
eI_in_ga(x1, x2)  =  eI_in_ga(x1)
U7_ga(x1, x2, x3)  =  U7_ga(x1, x3)
tG_in_ga(x1, x2)  =  tG_in_ga(x1)
tG_out_ga(x1, x2)  =  tG_out_ga(x1, x2)
U5_ga(x1, x2, x3)  =  U5_ga(x1, x3)
U3_ga(x1, x2, x3)  =  U3_ga(x1, x3)
pD_in_gaa(x1, x2, x3)  =  pD_in_gaa(x1)
U110_gaa(x1, x2, x3, x4)  =  U110_gaa(x1, x4)
tM_in_ga(x1, x2)  =  tM_in_ga(x1)
plus  =  plus
tM_out_ga(x1, x2)  =  tM_out_ga(x1, x2)
U11_ga(x1, x2, x3)  =  U11_ga(x1, x3)
eN_in_ga(x1, x2)  =  eN_in_ga(x1)
U33_ga(x1, x2, x3)  =  U33_ga(x1, x3)
tN8_in_ga(x1, x2)  =  tN8_in_ga(x1)
tN8_out_ga(x1, x2)  =  tN8_out_ga(x1, x2)
U31_ga(x1, x2, x3)  =  U31_ga(x1, x3)
eN6_in_ga(x1, x2)  =  eN6_in_ga(x1)
U29_ga(x1, x2, x3)  =  U29_ga(x1, x3)
tN4_in_ga(x1, x2)  =  tN4_in_ga(x1)
tN4_out_ga(x1, x2)  =  tN4_out_ga(x1, x2)
U27_ga(x1, x2, x3)  =  U27_ga(x1, x3)
eN2_in_ga(x1, x2)  =  eN2_in_ga(x1)
U25_ga(x1, x2, x3)  =  U25_ga(x1, x3)
tZ_in_ga(x1, x2)  =  tZ_in_ga(x1)
tZ_out_ga(x1, x2)  =  tZ_out_ga(x1, x2)
U23_ga(x1, x2, x3)  =  U23_ga(x1, x3)
eX_in_ga(x1, x2)  =  eX_in_ga(x1)
U21_ga(x1, x2, x3)  =  U21_ga(x1, x3)
tV_in_ga(x1, x2)  =  tV_in_ga(x1)
tV_out_ga(x1, x2)  =  tV_out_ga(x1, x2)
U19_ga(x1, x2, x3)  =  U19_ga(x1, x3)
eT_in_ga(x1, x2)  =  eT_in_ga(x1)
U17_ga(x1, x2, x3)  =  U17_ga(x1, x3)
tR_in_ga(x1, x2)  =  tR_in_ga(x1)
tR_out_ga(x1, x2)  =  tR_out_ga(x1, x2)
U15_ga(x1, x2, x3)  =  U15_ga(x1, x3)
eP_in_ga(x1, x2)  =  eP_in_ga(x1)
U13_ga(x1, x2, x3)  =  U13_ga(x1, x3)
tK_in_ga(x1, x2)  =  tK_in_ga(x1)
tK_out_ga(x1, x2)  =  tK_out_ga(x1, x2)
U9_ga(x1, x2, x3)  =  U9_ga(x1, x3)
eA_out_ga(x1, x2)  =  eA_out_ga(x1, x2)
U10_ga(x1, x2, x3)  =  U10_ga(x1, x3)
pL_in_gaa(x1, x2, x3)  =  pL_in_gaa(x1)
U64_gaa(x1, x2, x3, x4)  =  U64_gaa(x1, x4)
U65_gaa(x1, x2, x3, x4)  =  U65_gaa(x1, x2, x4)
pL_out_gaa(x1, x2, x3)  =  pL_out_gaa(x1, x2, x3)
eP_out_ga(x1, x2)  =  eP_out_ga(x1, x2)
U14_ga(x1, x2, x3)  =  U14_ga(x1, x3)
pQ_in_gaa(x1, x2, x3)  =  pQ_in_gaa(x1)
U66_gaa(x1, x2, x3, x4)  =  U66_gaa(x1, x4)
U12_ga(x1, x2, x3)  =  U12_ga(x1, x3)
pO_in_gaa(x1, x2, x3)  =  pO_in_gaa(x1)
U88_gaa(x1, x2, x3, x4)  =  U88_gaa(x1, x4)
U89_gaa(x1, x2, x3, x4)  =  U89_gaa(x1, x2, x4)
pO_out_gaa(x1, x2, x3)  =  pO_out_gaa(x1, x2, x3)
U67_gaa(x1, x2, x3, x4)  =  U67_gaa(x1, x2, x4)
pQ_out_gaa(x1, x2, x3)  =  pQ_out_gaa(x1, x2, x3)
U16_ga(x1, x2, x3)  =  U16_ga(x1, x3)
pS_in_gaa(x1, x2, x3)  =  pS_in_gaa(x1)
U68_gaa(x1, x2, x3, x4)  =  U68_gaa(x1, x4)
U69_gaa(x1, x2, x3, x4)  =  U69_gaa(x1, x2, x4)
pS_out_gaa(x1, x2, x3)  =  pS_out_gaa(x1, x2, x3)
eT_out_ga(x1, x2)  =  eT_out_ga(x1, x2)
U18_ga(x1, x2, x3)  =  U18_ga(x1, x3)
pU_in_gaa(x1, x2, x3)  =  pU_in_gaa(x1)
U70_gaa(x1, x2, x3, x4)  =  U70_gaa(x1, x4)
U71_gaa(x1, x2, x3, x4)  =  U71_gaa(x1, x2, x4)
pU_out_gaa(x1, x2, x3)  =  pU_out_gaa(x1, x2, x3)
U20_ga(x1, x2, x3)  =  U20_ga(x1, x3)
pW_in_gaa(x1, x2, x3)  =  pW_in_gaa(x1)
U72_gaa(x1, x2, x3, x4)  =  U72_gaa(x1, x4)
U73_gaa(x1, x2, x3, x4)  =  U73_gaa(x1, x2, x4)
pW_out_gaa(x1, x2, x3)  =  pW_out_gaa(x1, x2, x3)
eX_out_ga(x1, x2)  =  eX_out_ga(x1, x2)
U22_ga(x1, x2, x3)  =  U22_ga(x1, x3)
pY_in_gaa(x1, x2, x3)  =  pY_in_gaa(x1)
U74_gaa(x1, x2, x3, x4)  =  U74_gaa(x1, x4)
U75_gaa(x1, x2, x3, x4)  =  U75_gaa(x1, x2, x4)
pY_out_gaa(x1, x2, x3)  =  pY_out_gaa(x1, x2, x3)
U24_ga(x1, x2, x3)  =  U24_ga(x1, x3)
pN1_in_gaa(x1, x2, x3)  =  pN1_in_gaa(x1)
U76_gaa(x1, x2, x3, x4)  =  U76_gaa(x1, x4)
U77_gaa(x1, x2, x3, x4)  =  U77_gaa(x1, x2, x4)
pN1_out_gaa(x1, x2, x3)  =  pN1_out_gaa(x1, x2, x3)
eN2_out_ga(x1, x2)  =  eN2_out_ga(x1, x2)
U26_ga(x1, x2, x3)  =  U26_ga(x1, x3)
pN3_in_gaa(x1, x2, x3)  =  pN3_in_gaa(x1)
U78_gaa(x1, x2, x3, x4)  =  U78_gaa(x1, x4)
U79_gaa(x1, x2, x3, x4)  =  U79_gaa(x1, x2, x4)
pN3_out_gaa(x1, x2, x3)  =  pN3_out_gaa(x1, x2, x3)
U28_ga(x1, x2, x3)  =  U28_ga(x1, x3)
pN5_in_gaa(x1, x2, x3)  =  pN5_in_gaa(x1)
U80_gaa(x1, x2, x3, x4)  =  U80_gaa(x1, x4)
U81_gaa(x1, x2, x3, x4)  =  U81_gaa(x1, x2, x4)
pN5_out_gaa(x1, x2, x3)  =  pN5_out_gaa(x1, x2, x3)
eN6_out_ga(x1, x2)  =  eN6_out_ga(x1, x2)
U30_ga(x1, x2, x3)  =  U30_ga(x1, x3)
pN7_in_gaa(x1, x2, x3)  =  pN7_in_gaa(x1)
U82_gaa(x1, x2, x3, x4)  =  U82_gaa(x1, x4)
U83_gaa(x1, x2, x3, x4)  =  U83_gaa(x1, x2, x4)
pN7_out_gaa(x1, x2, x3)  =  pN7_out_gaa(x1, x2, x3)
U32_ga(x1, x2, x3)  =  U32_ga(x1, x3)
pN9_in_gaa(x1, x2, x3)  =  pN9_in_gaa(x1)
U84_gaa(x1, x2, x3, x4)  =  U84_gaa(x1, x4)
U85_gaa(x1, x2, x3, x4)  =  U85_gaa(x1, x2, x4)
pN9_out_gaa(x1, x2, x3)  =  pN9_out_gaa(x1, x2, x3)
eN_out_ga(x1, x2)  =  eN_out_ga(x1, x2)
U34_ga(x1, x2, x3)  =  U34_ga(x1, x3)
pN10_in_gaa(x1, x2, x3)  =  pN10_in_gaa(x1)
U86_gaa(x1, x2, x3, x4)  =  U86_gaa(x1, x4)
U87_gaa(x1, x2, x3, x4)  =  U87_gaa(x1, x2, x4)
pN10_out_gaa(x1, x2, x3)  =  pN10_out_gaa(x1, x2, x3)
U111_gaa(x1, x2, x3, x4)  =  U111_gaa(x1, x2, x4)
pD_out_gaa(x1, x2, x3)  =  pD_out_gaa(x1, x2, x3)
U6_ga(x1, x2, x3)  =  U6_ga(x1, x3)
pH_in_gaa(x1, x2, x3)  =  pH_in_gaa(x1)
U60_gaa(x1, x2, x3, x4)  =  U60_gaa(x1, x4)
U61_gaa(x1, x2, x3, x4)  =  U61_gaa(x1, x2, x4)
pH_out_gaa(x1, x2, x3)  =  pH_out_gaa(x1, x2, x3)
eI_out_ga(x1, x2)  =  eI_out_ga(x1, x2)
U8_ga(x1, x2, x3)  =  U8_ga(x1, x3)
pJ_in_gaa(x1, x2, x3)  =  pJ_in_gaa(x1)
U62_gaa(x1, x2, x3, x4)  =  U62_gaa(x1, x4)
U63_gaa(x1, x2, x3, x4)  =  U63_gaa(x1, x2, x4)
pJ_out_gaa(x1, x2, x3)  =  pJ_out_gaa(x1, x2, x3)
U36_ga(x1, x2, x3)  =  U36_ga(x1, x3)
pN12_in_gaa(x1, x2, x3)  =  pN12_in_gaa(x1)
U90_gaa(x1, x2, x3, x4)  =  U90_gaa(x1, x4)
U91_gaa(x1, x2, x3, x4)  =  U91_gaa(x1, x2, x4)
pN12_out_gaa(x1, x2, x3)  =  pN12_out_gaa(x1, x2, x3)
eN13_out_ga(x1, x2)  =  eN13_out_ga(x1, x2)
U38_ga(x1, x2, x3)  =  U38_ga(x1, x3)
pN14_in_gaa(x1, x2, x3)  =  pN14_in_gaa(x1)
U92_gaa(x1, x2, x3, x4)  =  U92_gaa(x1, x4)
U93_gaa(x1, x2, x3, x4)  =  U93_gaa(x1, x2, x4)
pN14_out_gaa(x1, x2, x3)  =  pN14_out_gaa(x1, x2, x3)
U40_ga(x1, x2, x3)  =  U40_ga(x1, x3)
pN16_in_gaa(x1, x2, x3)  =  pN16_in_gaa(x1)
U94_gaa(x1, x2, x3, x4)  =  U94_gaa(x1, x4)
U95_gaa(x1, x2, x3, x4)  =  U95_gaa(x1, x2, x4)
pN16_out_gaa(x1, x2, x3)  =  pN16_out_gaa(x1, x2, x3)
eN17_out_ga(x1, x2)  =  eN17_out_ga(x1, x2)
U42_ga(x1, x2, x3)  =  U42_ga(x1, x3)
pN18_in_gaa(x1, x2, x3)  =  pN18_in_gaa(x1)
U96_gaa(x1, x2, x3, x4)  =  U96_gaa(x1, x4)
U97_gaa(x1, x2, x3, x4)  =  U97_gaa(x1, x2, x4)
pN18_out_gaa(x1, x2, x3)  =  pN18_out_gaa(x1, x2, x3)
U44_ga(x1, x2, x3)  =  U44_ga(x1, x3)
pN20_in_gaa(x1, x2, x3)  =  pN20_in_gaa(x1)
U98_gaa(x1, x2, x3, x4)  =  U98_gaa(x1, x4)
U99_gaa(x1, x2, x3, x4)  =  U99_gaa(x1, x2, x4)
pN20_out_gaa(x1, x2, x3)  =  pN20_out_gaa(x1, x2, x3)
eN21_out_ga(x1, x2)  =  eN21_out_ga(x1, x2)
U46_ga(x1, x2, x3)  =  U46_ga(x1, x3)
pN22_in_gaa(x1, x2, x3)  =  pN22_in_gaa(x1)
U100_gaa(x1, x2, x3, x4)  =  U100_gaa(x1, x4)
U101_gaa(x1, x2, x3, x4)  =  U101_gaa(x1, x2, x4)
pN22_out_gaa(x1, x2, x3)  =  pN22_out_gaa(x1, x2, x3)
U48_ga(x1, x2, x3)  =  U48_ga(x1, x3)
pN24_in_gaa(x1, x2, x3)  =  pN24_in_gaa(x1)
U102_gaa(x1, x2, x3, x4)  =  U102_gaa(x1, x4)
U103_gaa(x1, x2, x3, x4)  =  U103_gaa(x1, x2, x4)
pN24_out_gaa(x1, x2, x3)  =  pN24_out_gaa(x1, x2, x3)
eN25_out_ga(x1, x2)  =  eN25_out_ga(x1, x2)
U50_ga(x1, x2, x3)  =  U50_ga(x1, x3)
pN26_in_gaa(x1, x2, x3)  =  pN26_in_gaa(x1)
U104_gaa(x1, x2, x3, x4)  =  U104_gaa(x1, x4)
U105_gaa(x1, x2, x3, x4)  =  U105_gaa(x1, x2, x4)
pN26_out_gaa(x1, x2, x3)  =  pN26_out_gaa(x1, x2, x3)
U52_ga(x1, x2, x3)  =  U52_ga(x1, x3)
pN28_in_gaa(x1, x2, x3)  =  pN28_in_gaa(x1)
U106_gaa(x1, x2, x3, x4)  =  U106_gaa(x1, x4)
U107_gaa(x1, x2, x3, x4)  =  U107_gaa(x1, x2, x4)
pN28_out_gaa(x1, x2, x3)  =  pN28_out_gaa(x1, x2, x3)
eF_out_ga(x1, x2)  =  eF_out_ga(x1, x2)
U54_ga(x1, x2, x3)  =  U54_ga(x1, x3)
pN29_in_gaa(x1, x2, x3)  =  pN29_in_gaa(x1)
U108_gaa(x1, x2, x3, x4)  =  U108_gaa(x1, x4)
U109_gaa(x1, x2, x3, x4)  =  U109_gaa(x1, x2, x4)
pN29_out_gaa(x1, x2, x3)  =  pN29_out_gaa(x1, x2, x3)
U59_gaa(x1, x2, x3, x4)  =  U59_gaa(x1, x2, x4)
tN30_in_ga(x1, x2)  =  tN30_in_ga(x1)
U56_ga(x1, x2, x3)  =  U56_ga(x1, x3)
tN30_out_ga(x1, x2)  =  tN30_out_ga(x1, x2)
U57_ga(x1, x2, x3)  =  U57_ga(x1, x3)
pC_out_gaa(x1, x2, x3)  =  pC_out_gaa(x1, x2, x3)
EA_IN_GA(x1, x2)  =  EA_IN_GA(x1)
NB_IN_GA(x1, x2)  =  NB_IN_GA(x1)
PC_IN_GAA(x1, x2, x3)  =  PC_IN_GAA(x1)
U58_GAA(x1, x2, x3, x4)  =  U58_GAA(x1, x4)
NE_IN_GA(x1, x2)  =  NE_IN_GA(x1)
EF_IN_GA(x1, x2)  =  EF_IN_GA(x1)
TN27_IN_GA(x1, x2)  =  TN27_IN_GA(x1)
EN25_IN_GA(x1, x2)  =  EN25_IN_GA(x1)
TN23_IN_GA(x1, x2)  =  TN23_IN_GA(x1)
EN21_IN_GA(x1, x2)  =  EN21_IN_GA(x1)
TN19_IN_GA(x1, x2)  =  TN19_IN_GA(x1)
EN17_IN_GA(x1, x2)  =  EN17_IN_GA(x1)
TN15_IN_GA(x1, x2)  =  TN15_IN_GA(x1)
EN13_IN_GA(x1, x2)  =  EN13_IN_GA(x1)
TN11_IN_GA(x1, x2)  =  TN11_IN_GA(x1)
EI_IN_GA(x1, x2)  =  EI_IN_GA(x1)
TG_IN_GA(x1, x2)  =  TG_IN_GA(x1)
PD_IN_GAA(x1, x2, x3)  =  PD_IN_GAA(x1)
U110_GAA(x1, x2, x3, x4)  =  U110_GAA(x1, x4)
TM_IN_GA(x1, x2)  =  TM_IN_GA(x1)
EN_IN_GA(x1, x2)  =  EN_IN_GA(x1)
TN8_IN_GA(x1, x2)  =  TN8_IN_GA(x1)
EN6_IN_GA(x1, x2)  =  EN6_IN_GA(x1)
TN4_IN_GA(x1, x2)  =  TN4_IN_GA(x1)
EN2_IN_GA(x1, x2)  =  EN2_IN_GA(x1)
TZ_IN_GA(x1, x2)  =  TZ_IN_GA(x1)
EX_IN_GA(x1, x2)  =  EX_IN_GA(x1)
TV_IN_GA(x1, x2)  =  TV_IN_GA(x1)
ET_IN_GA(x1, x2)  =  ET_IN_GA(x1)
TR_IN_GA(x1, x2)  =  TR_IN_GA(x1)
EP_IN_GA(x1, x2)  =  EP_IN_GA(x1)
TK_IN_GA(x1, x2)  =  TK_IN_GA(x1)
PL_IN_GAA(x1, x2, x3)  =  PL_IN_GAA(x1)
U64_GAA(x1, x2, x3, x4)  =  U64_GAA(x1, x4)
PQ_IN_GAA(x1, x2, x3)  =  PQ_IN_GAA(x1)
U66_GAA(x1, x2, x3, x4)  =  U66_GAA(x1, x4)
PO_IN_GAA(x1, x2, x3)  =  PO_IN_GAA(x1)
U88_GAA(x1, x2, x3, x4)  =  U88_GAA(x1, x4)
PS_IN_GAA(x1, x2, x3)  =  PS_IN_GAA(x1)
U68_GAA(x1, x2, x3, x4)  =  U68_GAA(x1, x4)
PU_IN_GAA(x1, x2, x3)  =  PU_IN_GAA(x1)
U70_GAA(x1, x2, x3, x4)  =  U70_GAA(x1, x4)
PW_IN_GAA(x1, x2, x3)  =  PW_IN_GAA(x1)
U72_GAA(x1, x2, x3, x4)  =  U72_GAA(x1, x4)
PY_IN_GAA(x1, x2, x3)  =  PY_IN_GAA(x1)
U74_GAA(x1, x2, x3, x4)  =  U74_GAA(x1, x4)
PN1_IN_GAA(x1, x2, x3)  =  PN1_IN_GAA(x1)
U76_GAA(x1, x2, x3, x4)  =  U76_GAA(x1, x4)
PN3_IN_GAA(x1, x2, x3)  =  PN3_IN_GAA(x1)
U78_GAA(x1, x2, x3, x4)  =  U78_GAA(x1, x4)
PN5_IN_GAA(x1, x2, x3)  =  PN5_IN_GAA(x1)
U80_GAA(x1, x2, x3, x4)  =  U80_GAA(x1, x4)
PN7_IN_GAA(x1, x2, x3)  =  PN7_IN_GAA(x1)
U82_GAA(x1, x2, x3, x4)  =  U82_GAA(x1, x4)
PN9_IN_GAA(x1, x2, x3)  =  PN9_IN_GAA(x1)
U84_GAA(x1, x2, x3, x4)  =  U84_GAA(x1, x4)
PN10_IN_GAA(x1, x2, x3)  =  PN10_IN_GAA(x1)
U86_GAA(x1, x2, x3, x4)  =  U86_GAA(x1, x4)
PH_IN_GAA(x1, x2, x3)  =  PH_IN_GAA(x1)
U60_GAA(x1, x2, x3, x4)  =  U60_GAA(x1, x4)
PJ_IN_GAA(x1, x2, x3)  =  PJ_IN_GAA(x1)
U62_GAA(x1, x2, x3, x4)  =  U62_GAA(x1, x4)
PN12_IN_GAA(x1, x2, x3)  =  PN12_IN_GAA(x1)
U90_GAA(x1, x2, x3, x4)  =  U90_GAA(x1, x4)
PN14_IN_GAA(x1, x2, x3)  =  PN14_IN_GAA(x1)
U92_GAA(x1, x2, x3, x4)  =  U92_GAA(x1, x4)
PN16_IN_GAA(x1, x2, x3)  =  PN16_IN_GAA(x1)
U94_GAA(x1, x2, x3, x4)  =  U94_GAA(x1, x4)
PN18_IN_GAA(x1, x2, x3)  =  PN18_IN_GAA(x1)
U96_GAA(x1, x2, x3, x4)  =  U96_GAA(x1, x4)
PN20_IN_GAA(x1, x2, x3)  =  PN20_IN_GAA(x1)
U98_GAA(x1, x2, x3, x4)  =  U98_GAA(x1, x4)
PN22_IN_GAA(x1, x2, x3)  =  PN22_IN_GAA(x1)
U100_GAA(x1, x2, x3, x4)  =  U100_GAA(x1, x4)
PN24_IN_GAA(x1, x2, x3)  =  PN24_IN_GAA(x1)
U102_GAA(x1, x2, x3, x4)  =  U102_GAA(x1, x4)
PN26_IN_GAA(x1, x2, x3)  =  PN26_IN_GAA(x1)
U104_GAA(x1, x2, x3, x4)  =  U104_GAA(x1, x4)
PN28_IN_GAA(x1, x2, x3)  =  PN28_IN_GAA(x1)
U106_GAA(x1, x2, x3, x4)  =  U106_GAA(x1, x4)
PN29_IN_GAA(x1, x2, x3)  =  PN29_IN_GAA(x1)
U108_GAA(x1, x2, x3, x4)  =  U108_GAA(x1, x4)
TN30_IN_GA(x1, x2)  =  TN30_IN_GA(x1)

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

(7) PiDPToQDPProof (SOUND transformation)

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

(8) Obligation:

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

EA_IN_GA(T22) → NB_IN_GA(T22)
NB_IN_GA(.(lbrace, T41)) → EA_IN_GA(T41)
EA_IN_GA(T62) → PC_IN_GAA(T62)
PC_IN_GAA(T62) → U58_GAA(T62, nE_in_ga(T62))
U58_GAA(T62, nE_out_ga(T62, T68)) → TN30_IN_GA(T68)
TN30_IN_GA(T916) → NB_IN_GA(T916)
TN30_IN_GA(T929) → PC_IN_GAA(T929)
PC_IN_GAA(T62) → NE_IN_GA(T62)
NE_IN_GA(.(lbrace, T89)) → EF_IN_GA(T89)
EF_IN_GA(T97) → TN27_IN_GA(T97)
TN27_IN_GA(.(lbrace, T130)) → EN25_IN_GA(T130)
EN25_IN_GA(T138) → TN23_IN_GA(T138)
TN23_IN_GA(.(lbrace, T171)) → EN21_IN_GA(T171)
EN21_IN_GA(T179) → TN19_IN_GA(T179)
TN19_IN_GA(.(lbrace, T212)) → EN17_IN_GA(T212)
EN17_IN_GA(T220) → TN15_IN_GA(T220)
TN15_IN_GA(.(lbrace, T253)) → EN13_IN_GA(T253)
EN13_IN_GA(T261) → TN11_IN_GA(T261)
TN11_IN_GA(.(lbrace, T294)) → EI_IN_GA(T294)
EI_IN_GA(T302) → TG_IN_GA(T302)
TG_IN_GA(.(lbrace, T335)) → EA_IN_GA(T335)
EA_IN_GA(T941) → PD_IN_GAA(T941)
PD_IN_GAA(T941) → U110_GAA(T941, tM_in_ga(T941))
U110_GAA(T941, tM_out_ga(T941, T945)) → EA_IN_GA(T945)
PD_IN_GAA(T941) → TM_IN_GA(T941)
TM_IN_GA(.(lbrace, T392)) → EN_IN_GA(T392)
EN_IN_GA(T400) → TN8_IN_GA(T400)
TN8_IN_GA(.(lbrace, T433)) → EN6_IN_GA(T433)
EN6_IN_GA(T441) → TN4_IN_GA(T441)
TN4_IN_GA(.(lbrace, T474)) → EN2_IN_GA(T474)
EN2_IN_GA(T482) → TZ_IN_GA(T482)
TZ_IN_GA(.(lbrace, T515)) → EX_IN_GA(T515)
EX_IN_GA(T523) → TV_IN_GA(T523)
TV_IN_GA(.(lbrace, T556)) → ET_IN_GA(T556)
ET_IN_GA(T564) → TR_IN_GA(T564)
TR_IN_GA(.(lbrace, T597)) → EP_IN_GA(T597)
EP_IN_GA(T605) → TK_IN_GA(T605)
TK_IN_GA(.(lbrace, T638)) → EA_IN_GA(T638)
TK_IN_GA(T648) → PL_IN_GAA(T648)
PL_IN_GAA(T648) → U64_GAA(T648, nE_in_ga(T648))
U64_GAA(T648, nE_out_ga(T648, T652)) → TK_IN_GA(T652)
PL_IN_GAA(T648) → NE_IN_GA(T648)
EP_IN_GA(T660) → PQ_IN_GAA(T660)
PQ_IN_GAA(T660) → U66_GAA(T660, tM_in_ga(T660))
U66_GAA(T660, tM_out_ga(T660, T662)) → EP_IN_GA(T662)
PQ_IN_GAA(T660) → TM_IN_GA(T660)
TM_IN_GA(T780) → PO_IN_GAA(T780)
PO_IN_GAA(T780) → U88_GAA(T780, nE_in_ga(T780))
U88_GAA(T780, nE_out_ga(T780, T784)) → TM_IN_GA(T784)
PO_IN_GAA(T780) → NE_IN_GA(T780)
TR_IN_GA(T670) → PS_IN_GAA(T670)
PS_IN_GAA(T670) → U68_GAA(T670, nE_in_ga(T670))
U68_GAA(T670, nE_out_ga(T670, T674)) → TR_IN_GA(T674)
PS_IN_GAA(T670) → NE_IN_GA(T670)
ET_IN_GA(T682) → PU_IN_GAA(T682)
PU_IN_GAA(T682) → U70_GAA(T682, tM_in_ga(T682))
U70_GAA(T682, tM_out_ga(T682, T684)) → ET_IN_GA(T684)
PU_IN_GAA(T682) → TM_IN_GA(T682)
TV_IN_GA(T692) → PW_IN_GAA(T692)
PW_IN_GAA(T692) → U72_GAA(T692, nE_in_ga(T692))
U72_GAA(T692, nE_out_ga(T692, T696)) → TV_IN_GA(T696)
PW_IN_GAA(T692) → NE_IN_GA(T692)
EX_IN_GA(T704) → PY_IN_GAA(T704)
PY_IN_GAA(T704) → U74_GAA(T704, tM_in_ga(T704))
U74_GAA(T704, tM_out_ga(T704, T706)) → EX_IN_GA(T706)
PY_IN_GAA(T704) → TM_IN_GA(T704)
TZ_IN_GA(T714) → PN1_IN_GAA(T714)
PN1_IN_GAA(T714) → U76_GAA(T714, nE_in_ga(T714))
U76_GAA(T714, nE_out_ga(T714, T718)) → TZ_IN_GA(T718)
PN1_IN_GAA(T714) → NE_IN_GA(T714)
EN2_IN_GA(T726) → PN3_IN_GAA(T726)
PN3_IN_GAA(T726) → U78_GAA(T726, tM_in_ga(T726))
U78_GAA(T726, tM_out_ga(T726, T728)) → EN2_IN_GA(T728)
PN3_IN_GAA(T726) → TM_IN_GA(T726)
TN4_IN_GA(T736) → PN5_IN_GAA(T736)
PN5_IN_GAA(T736) → U80_GAA(T736, nE_in_ga(T736))
U80_GAA(T736, nE_out_ga(T736, T740)) → TN4_IN_GA(T740)
PN5_IN_GAA(T736) → NE_IN_GA(T736)
EN6_IN_GA(T748) → PN7_IN_GAA(T748)
PN7_IN_GAA(T748) → U82_GAA(T748, tM_in_ga(T748))
U82_GAA(T748, tM_out_ga(T748, T750)) → EN6_IN_GA(T750)
PN7_IN_GAA(T748) → TM_IN_GA(T748)
TN8_IN_GA(T758) → PN9_IN_GAA(T758)
PN9_IN_GAA(T758) → U84_GAA(T758, nE_in_ga(T758))
U84_GAA(T758, nE_out_ga(T758, T762)) → TN8_IN_GA(T762)
PN9_IN_GAA(T758) → NE_IN_GA(T758)
EN_IN_GA(T770) → PN10_IN_GAA(T770)
PN10_IN_GAA(T770) → U86_GAA(T770, tM_in_ga(T770))
U86_GAA(T770, tM_out_ga(T770, T772)) → EN_IN_GA(T772)
PN10_IN_GAA(T770) → TM_IN_GA(T770)
TG_IN_GA(T345) → PH_IN_GAA(T345)
PH_IN_GAA(T345) → U60_GAA(T345, nE_in_ga(T345))
U60_GAA(T345, nE_out_ga(T345, T349)) → TG_IN_GA(T349)
PH_IN_GAA(T345) → NE_IN_GA(T345)
EI_IN_GA(T357) → PJ_IN_GAA(T357)
PJ_IN_GAA(T357) → U62_GAA(T357, tM_in_ga(T357))
U62_GAA(T357, tM_out_ga(T357, T359)) → EI_IN_GA(T359)
PJ_IN_GAA(T357) → TM_IN_GA(T357)
TN11_IN_GA(T795) → PN12_IN_GAA(T795)
PN12_IN_GAA(T795) → U90_GAA(T795, nE_in_ga(T795))
U90_GAA(T795, nE_out_ga(T795, T799)) → TN11_IN_GA(T799)
PN12_IN_GAA(T795) → NE_IN_GA(T795)
EN13_IN_GA(T807) → PN14_IN_GAA(T807)
PN14_IN_GAA(T807) → U92_GAA(T807, tM_in_ga(T807))
U92_GAA(T807, tM_out_ga(T807, T809)) → EN13_IN_GA(T809)
PN14_IN_GAA(T807) → TM_IN_GA(T807)
TN15_IN_GA(T817) → PN16_IN_GAA(T817)
PN16_IN_GAA(T817) → U94_GAA(T817, nE_in_ga(T817))
U94_GAA(T817, nE_out_ga(T817, T821)) → TN15_IN_GA(T821)
PN16_IN_GAA(T817) → NE_IN_GA(T817)
EN17_IN_GA(T829) → PN18_IN_GAA(T829)
PN18_IN_GAA(T829) → U96_GAA(T829, tM_in_ga(T829))
U96_GAA(T829, tM_out_ga(T829, T831)) → EN17_IN_GA(T831)
PN18_IN_GAA(T829) → TM_IN_GA(T829)
TN19_IN_GA(T839) → PN20_IN_GAA(T839)
PN20_IN_GAA(T839) → U98_GAA(T839, nE_in_ga(T839))
U98_GAA(T839, nE_out_ga(T839, T843)) → TN19_IN_GA(T843)
PN20_IN_GAA(T839) → NE_IN_GA(T839)
EN21_IN_GA(T851) → PN22_IN_GAA(T851)
PN22_IN_GAA(T851) → U100_GAA(T851, tM_in_ga(T851))
U100_GAA(T851, tM_out_ga(T851, T853)) → EN21_IN_GA(T853)
PN22_IN_GAA(T851) → TM_IN_GA(T851)
TN23_IN_GA(T861) → PN24_IN_GAA(T861)
PN24_IN_GAA(T861) → U102_GAA(T861, nE_in_ga(T861))
U102_GAA(T861, nE_out_ga(T861, T865)) → TN23_IN_GA(T865)
PN24_IN_GAA(T861) → NE_IN_GA(T861)
EN25_IN_GA(T873) → PN26_IN_GAA(T873)
PN26_IN_GAA(T873) → U104_GAA(T873, tM_in_ga(T873))
U104_GAA(T873, tM_out_ga(T873, T875)) → EN25_IN_GA(T875)
PN26_IN_GAA(T873) → TM_IN_GA(T873)
TN27_IN_GA(T883) → PN28_IN_GAA(T883)
PN28_IN_GAA(T883) → U106_GAA(T883, nE_in_ga(T883))
U106_GAA(T883, nE_out_ga(T883, T887)) → TN27_IN_GA(T887)
PN28_IN_GAA(T883) → NE_IN_GA(T883)
EF_IN_GA(T895) → PN29_IN_GAA(T895)
PN29_IN_GAA(T895) → U108_GAA(T895, tM_in_ga(T895))
U108_GAA(T895, tM_out_ga(T895, T897)) → EF_IN_GA(T897)
PN29_IN_GAA(T895) → TM_IN_GA(T895)

The TRS R consists of the following rules:

eA_in_ga(T22) → U1_ga(T22, nB_in_ga(T22))
nB_in_ga(.(a, T36)) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36)) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36)) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41)) → U55_ga(T41, eA_in_ga(T41))
eA_in_ga(T62) → U2_ga(T62, pC_in_gaa(T62))
pC_in_gaa(T62) → U58_gaa(T62, nE_in_ga(T62))
nE_in_ga(.(a, .(star, T86))) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86))) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86))) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89)) → U4_ga(T89, eF_in_ga(T89))
eF_in_ga(T97) → U53_ga(T97, tN27_in_ga(T97))
tN27_in_ga(.(a, .(rbrace, .(star, T127)))) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127)))) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127)))) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130)) → U51_ga(T130, eN25_in_ga(T130))
eN25_in_ga(T138) → U49_ga(T138, tN23_in_ga(T138))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171)) → U47_ga(T171, eN21_in_ga(T171))
eN21_in_ga(T179) → U45_ga(T179, tN19_in_ga(T179))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212)) → U43_ga(T212, eN17_in_ga(T212))
eN17_in_ga(T220) → U41_ga(T220, tN15_in_ga(T220))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253)) → U39_ga(T253, eN13_in_ga(T253))
eN13_in_ga(T261) → U37_ga(T261, tN11_in_ga(T261))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294)) → U35_ga(T294, eI_in_ga(T294))
eI_in_ga(T302) → U7_ga(T302, tG_in_ga(T302))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335)) → U5_ga(T335, eA_in_ga(T335))
eA_in_ga(T941) → U3_ga(T941, pD_in_gaa(T941))
pD_in_gaa(T941) → U110_gaa(T941, tM_in_ga(T941))
tM_in_ga(.(a, .(plus, T389))) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389))) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389))) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392)) → U11_ga(T392, eN_in_ga(T392))
eN_in_ga(T400) → U33_ga(T400, tN8_in_ga(T400))
tN8_in_ga(.(a, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433)) → U31_ga(T433, eN6_in_ga(T433))
eN6_in_ga(T441) → U29_ga(T441, tN4_in_ga(T441))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474)) → U27_ga(T474, eN2_in_ga(T474))
eN2_in_ga(T482) → U25_ga(T482, tZ_in_ga(T482))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515)) → U23_ga(T515, eX_in_ga(T515))
eX_in_ga(T523) → U21_ga(T523, tV_in_ga(T523))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556)) → U19_ga(T556, eT_in_ga(T556))
eT_in_ga(T564) → U17_ga(T564, tR_in_ga(T564))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597)) → U15_ga(T597, eP_in_ga(T597))
eP_in_ga(T605) → U13_ga(T605, tK_in_ga(T605))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638)) → U9_ga(T638, eA_in_ga(T638))
U9_ga(T638, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648) → U10_ga(T648, pL_in_gaa(T648))
pL_in_gaa(T648) → U64_gaa(T648, nE_in_ga(T648))
U64_gaa(T648, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, tK_in_ga(T652))
U65_gaa(T648, T652, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660) → U14_ga(T660, pQ_in_gaa(T660))
pQ_in_gaa(T660) → U66_gaa(T660, tM_in_ga(T660))
tM_in_ga(T780) → U12_ga(T780, pO_in_gaa(T780))
pO_in_gaa(T780) → U88_gaa(T780, nE_in_ga(T780))
U88_gaa(T780, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, tM_in_ga(T784))
U89_gaa(T780, T784, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, eP_in_ga(T662))
U67_gaa(T660, T662, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670) → U16_ga(T670, pS_in_gaa(T670))
pS_in_gaa(T670) → U68_gaa(T670, nE_in_ga(T670))
U68_gaa(T670, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, tR_in_ga(T674))
U69_gaa(T670, T674, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682) → U18_ga(T682, pU_in_gaa(T682))
pU_in_gaa(T682) → U70_gaa(T682, tM_in_ga(T682))
U70_gaa(T682, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, eT_in_ga(T684))
U71_gaa(T682, T684, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692) → U20_ga(T692, pW_in_gaa(T692))
pW_in_gaa(T692) → U72_gaa(T692, nE_in_ga(T692))
U72_gaa(T692, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, tV_in_ga(T696))
U73_gaa(T692, T696, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704) → U22_ga(T704, pY_in_gaa(T704))
pY_in_gaa(T704) → U74_gaa(T704, tM_in_ga(T704))
U74_gaa(T704, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, eX_in_ga(T706))
U75_gaa(T704, T706, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714) → U24_ga(T714, pN1_in_gaa(T714))
pN1_in_gaa(T714) → U76_gaa(T714, nE_in_ga(T714))
U76_gaa(T714, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, tZ_in_ga(T718))
U77_gaa(T714, T718, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726) → U26_ga(T726, pN3_in_gaa(T726))
pN3_in_gaa(T726) → U78_gaa(T726, tM_in_ga(T726))
U78_gaa(T726, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, eN2_in_ga(T728))
U79_gaa(T726, T728, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736) → U28_ga(T736, pN5_in_gaa(T736))
pN5_in_gaa(T736) → U80_gaa(T736, nE_in_ga(T736))
U80_gaa(T736, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, tN4_in_ga(T740))
U81_gaa(T736, T740, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748) → U30_ga(T748, pN7_in_gaa(T748))
pN7_in_gaa(T748) → U82_gaa(T748, tM_in_ga(T748))
U82_gaa(T748, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, eN6_in_ga(T750))
U83_gaa(T748, T750, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758) → U32_ga(T758, pN9_in_gaa(T758))
pN9_in_gaa(T758) → U84_gaa(T758, nE_in_ga(T758))
U84_gaa(T758, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, tN8_in_ga(T762))
U85_gaa(T758, T762, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770) → U34_ga(T770, pN10_in_gaa(T770))
pN10_in_gaa(T770) → U86_gaa(T770, tM_in_ga(T770))
U86_gaa(T770, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, eN_in_ga(T772))
U87_gaa(T770, T772, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, eA_in_ga(T945))
U111_gaa(T941, T945, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345) → U6_ga(T345, pH_in_gaa(T345))
pH_in_gaa(T345) → U60_gaa(T345, nE_in_ga(T345))
U60_gaa(T345, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, tG_in_ga(T349))
U61_gaa(T345, T349, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357) → U8_ga(T357, pJ_in_gaa(T357))
pJ_in_gaa(T357) → U62_gaa(T357, tM_in_ga(T357))
U62_gaa(T357, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, eI_in_ga(T359))
U63_gaa(T357, T359, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795) → U36_ga(T795, pN12_in_gaa(T795))
pN12_in_gaa(T795) → U90_gaa(T795, nE_in_ga(T795))
U90_gaa(T795, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, tN11_in_ga(T799))
U91_gaa(T795, T799, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807) → U38_ga(T807, pN14_in_gaa(T807))
pN14_in_gaa(T807) → U92_gaa(T807, tM_in_ga(T807))
U92_gaa(T807, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, eN13_in_ga(T809))
U93_gaa(T807, T809, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817) → U40_ga(T817, pN16_in_gaa(T817))
pN16_in_gaa(T817) → U94_gaa(T817, nE_in_ga(T817))
U94_gaa(T817, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, tN15_in_ga(T821))
U95_gaa(T817, T821, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829) → U42_ga(T829, pN18_in_gaa(T829))
pN18_in_gaa(T829) → U96_gaa(T829, tM_in_ga(T829))
U96_gaa(T829, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, eN17_in_ga(T831))
U97_gaa(T829, T831, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839) → U44_ga(T839, pN20_in_gaa(T839))
pN20_in_gaa(T839) → U98_gaa(T839, nE_in_ga(T839))
U98_gaa(T839, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, tN19_in_ga(T843))
U99_gaa(T839, T843, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851) → U46_ga(T851, pN22_in_gaa(T851))
pN22_in_gaa(T851) → U100_gaa(T851, tM_in_ga(T851))
U100_gaa(T851, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, eN21_in_ga(T853))
U101_gaa(T851, T853, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861) → U48_ga(T861, pN24_in_gaa(T861))
pN24_in_gaa(T861) → U102_gaa(T861, nE_in_ga(T861))
U102_gaa(T861, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, tN23_in_ga(T865))
U103_gaa(T861, T865, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873) → U50_ga(T873, pN26_in_gaa(T873))
pN26_in_gaa(T873) → U104_gaa(T873, tM_in_ga(T873))
U104_gaa(T873, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, eN25_in_ga(T875))
U105_gaa(T873, T875, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883) → U52_ga(T883, pN28_in_gaa(T883))
pN28_in_gaa(T883) → U106_gaa(T883, nE_in_ga(T883))
U106_gaa(T883, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, tN27_in_ga(T887))
U107_gaa(T883, T887, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895) → U54_ga(T895, pN29_in_gaa(T895))
pN29_in_gaa(T895) → U108_gaa(T895, tM_in_ga(T895))
U108_gaa(T895, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, eF_in_ga(T897))
U109_gaa(T895, T897, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, tN30_in_ga(T68))
tN30_in_ga(T916) → U56_ga(T916, nB_in_ga(T916))
U56_ga(T916, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929) → U57_ga(T929, pC_in_gaa(T929))
U57_ga(T929, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The set Q consists of the following terms:

eA_in_ga(x0)
nB_in_ga(x0)
pC_in_gaa(x0)
nE_in_ga(x0)
eF_in_ga(x0)
tN27_in_ga(x0)
eN25_in_ga(x0)
tN23_in_ga(x0)
eN21_in_ga(x0)
tN19_in_ga(x0)
eN17_in_ga(x0)
tN15_in_ga(x0)
eN13_in_ga(x0)
tN11_in_ga(x0)
eI_in_ga(x0)
tG_in_ga(x0)
pD_in_gaa(x0)
tM_in_ga(x0)
eN_in_ga(x0)
tN8_in_ga(x0)
eN6_in_ga(x0)
tN4_in_ga(x0)
eN2_in_ga(x0)
tZ_in_ga(x0)
eX_in_ga(x0)
tV_in_ga(x0)
eT_in_ga(x0)
tR_in_ga(x0)
eP_in_ga(x0)
tK_in_ga(x0)
U9_ga(x0, x1)
pL_in_gaa(x0)
U64_gaa(x0, x1)
U65_gaa(x0, x1, x2)
U10_ga(x0, x1)
U13_ga(x0, x1)
pQ_in_gaa(x0)
pO_in_gaa(x0)
U88_gaa(x0, x1)
U89_gaa(x0, x1, x2)
U12_ga(x0, x1)
U66_gaa(x0, x1)
U67_gaa(x0, x1, x2)
U14_ga(x0, x1)
U15_ga(x0, x1)
pS_in_gaa(x0)
U68_gaa(x0, x1)
U69_gaa(x0, x1, x2)
U16_ga(x0, x1)
U17_ga(x0, x1)
pU_in_gaa(x0)
U70_gaa(x0, x1)
U71_gaa(x0, x1, x2)
U18_ga(x0, x1)
U19_ga(x0, x1)
pW_in_gaa(x0)
U72_gaa(x0, x1)
U73_gaa(x0, x1, x2)
U20_ga(x0, x1)
U21_ga(x0, x1)
pY_in_gaa(x0)
U74_gaa(x0, x1)
U75_gaa(x0, x1, x2)
U22_ga(x0, x1)
U23_ga(x0, x1)
pN1_in_gaa(x0)
U76_gaa(x0, x1)
U77_gaa(x0, x1, x2)
U24_ga(x0, x1)
U25_ga(x0, x1)
pN3_in_gaa(x0)
U78_gaa(x0, x1)
U79_gaa(x0, x1, x2)
U26_ga(x0, x1)
U27_ga(x0, x1)
pN5_in_gaa(x0)
U80_gaa(x0, x1)
U81_gaa(x0, x1, x2)
U28_ga(x0, x1)
U29_ga(x0, x1)
pN7_in_gaa(x0)
U82_gaa(x0, x1)
U83_gaa(x0, x1, x2)
U30_ga(x0, x1)
U31_ga(x0, x1)
pN9_in_gaa(x0)
U84_gaa(x0, x1)
U85_gaa(x0, x1, x2)
U32_ga(x0, x1)
U33_ga(x0, x1)
pN10_in_gaa(x0)
U86_gaa(x0, x1)
U87_gaa(x0, x1, x2)
U34_ga(x0, x1)
U11_ga(x0, x1)
U110_gaa(x0, x1)
U111_gaa(x0, x1, x2)
U3_ga(x0, x1)
U5_ga(x0, x1)
pH_in_gaa(x0)
U60_gaa(x0, x1)
U61_gaa(x0, x1, x2)
U6_ga(x0, x1)
U7_ga(x0, x1)
pJ_in_gaa(x0)
U62_gaa(x0, x1)
U63_gaa(x0, x1, x2)
U8_ga(x0, x1)
U35_ga(x0, x1)
pN12_in_gaa(x0)
U90_gaa(x0, x1)
U91_gaa(x0, x1, x2)
U36_ga(x0, x1)
U37_ga(x0, x1)
pN14_in_gaa(x0)
U92_gaa(x0, x1)
U93_gaa(x0, x1, x2)
U38_ga(x0, x1)
U39_ga(x0, x1)
pN16_in_gaa(x0)
U94_gaa(x0, x1)
U95_gaa(x0, x1, x2)
U40_ga(x0, x1)
U41_ga(x0, x1)
pN18_in_gaa(x0)
U96_gaa(x0, x1)
U97_gaa(x0, x1, x2)
U42_ga(x0, x1)
U43_ga(x0, x1)
pN20_in_gaa(x0)
U98_gaa(x0, x1)
U99_gaa(x0, x1, x2)
U44_ga(x0, x1)
U45_ga(x0, x1)
pN22_in_gaa(x0)
U100_gaa(x0, x1)
U101_gaa(x0, x1, x2)
U46_ga(x0, x1)
U47_ga(x0, x1)
pN24_in_gaa(x0)
U102_gaa(x0, x1)
U103_gaa(x0, x1, x2)
U48_ga(x0, x1)
U49_ga(x0, x1)
pN26_in_gaa(x0)
U104_gaa(x0, x1)
U105_gaa(x0, x1, x2)
U50_ga(x0, x1)
U51_ga(x0, x1)
pN28_in_gaa(x0)
U106_gaa(x0, x1)
U107_gaa(x0, x1, x2)
U52_ga(x0, x1)
U53_ga(x0, x1)
pN29_in_gaa(x0)
U108_gaa(x0, x1)
U109_gaa(x0, x1, x2)
U54_ga(x0, x1)
U4_ga(x0, x1)
U58_gaa(x0, x1)
tN30_in_ga(x0)
U56_ga(x0, x1)
U57_ga(x0, x1)
U59_gaa(x0, x1, x2)
U2_ga(x0, x1)
U55_ga(x0, x1)
U1_ga(x0, x1)

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

(9) QDPOrderProof (EQUIVALENT transformation)

We use the reduction pair processor [LPAR04,JAR06].

The following pairs can be oriented strictly and are deleted.

NB_IN_GA(.(lbrace, T41)) → EA_IN_GA(T41)
PC_IN_GAA(T62) → U58_GAA(T62, nE_in_ga(T62))
PC_IN_GAA(T62) → NE_IN_GA(T62)
EF_IN_GA(T97) → TN27_IN_GA(T97)
EN25_IN_GA(T138) → TN23_IN_GA(T138)
EN21_IN_GA(T179) → TN19_IN_GA(T179)
EN17_IN_GA(T220) → TN15_IN_GA(T220)
EN13_IN_GA(T261) → TN11_IN_GA(T261)
EI_IN_GA(T302) → TG_IN_GA(T302)
PD_IN_GAA(T941) → U110_GAA(T941, tM_in_ga(T941))
TM_IN_GA(.(lbrace, T392)) → EN_IN_GA(T392)
EN_IN_GA(T400) → TN8_IN_GA(T400)
EN6_IN_GA(T441) → TN4_IN_GA(T441)
EN2_IN_GA(T482) → TZ_IN_GA(T482)
EX_IN_GA(T523) → TV_IN_GA(T523)
ET_IN_GA(T564) → TR_IN_GA(T564)
TK_IN_GA(.(lbrace, T638)) → EA_IN_GA(T638)
U64_GAA(T648, nE_out_ga(T648, T652)) → TK_IN_GA(T652)
PL_IN_GAA(T648) → NE_IN_GA(T648)
PQ_IN_GAA(T660) → U66_GAA(T660, tM_in_ga(T660))
U88_GAA(T780, nE_out_ga(T780, T784)) → TM_IN_GA(T784)
PO_IN_GAA(T780) → NE_IN_GA(T780)
U68_GAA(T670, nE_out_ga(T670, T674)) → TR_IN_GA(T674)
PU_IN_GAA(T682) → U70_GAA(T682, tM_in_ga(T682))
U72_GAA(T692, nE_out_ga(T692, T696)) → TV_IN_GA(T696)
PY_IN_GAA(T704) → U74_GAA(T704, tM_in_ga(T704))
U76_GAA(T714, nE_out_ga(T714, T718)) → TZ_IN_GA(T718)
PN3_IN_GAA(T726) → U78_GAA(T726, tM_in_ga(T726))
U80_GAA(T736, nE_out_ga(T736, T740)) → TN4_IN_GA(T740)
PN7_IN_GAA(T748) → U82_GAA(T748, tM_in_ga(T748))
U84_GAA(T758, nE_out_ga(T758, T762)) → TN8_IN_GA(T762)
PN10_IN_GAA(T770) → U86_GAA(T770, tM_in_ga(T770))
U60_GAA(T345, nE_out_ga(T345, T349)) → TG_IN_GA(T349)
PJ_IN_GAA(T357) → U62_GAA(T357, tM_in_ga(T357))
U90_GAA(T795, nE_out_ga(T795, T799)) → TN11_IN_GA(T799)
PN14_IN_GAA(T807) → U92_GAA(T807, tM_in_ga(T807))
U94_GAA(T817, nE_out_ga(T817, T821)) → TN15_IN_GA(T821)
PN18_IN_GAA(T829) → U96_GAA(T829, tM_in_ga(T829))
U98_GAA(T839, nE_out_ga(T839, T843)) → TN19_IN_GA(T843)
PN22_IN_GAA(T851) → U100_GAA(T851, tM_in_ga(T851))
U102_GAA(T861, nE_out_ga(T861, T865)) → TN23_IN_GA(T865)
PN26_IN_GAA(T873) → U104_GAA(T873, tM_in_ga(T873))
U106_GAA(T883, nE_out_ga(T883, T887)) → TN27_IN_GA(T887)
PN29_IN_GAA(T895) → U108_GAA(T895, tM_in_ga(T895))

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

POL(.(x₁, x₂)) = 1 + x₂   
POL(EA_IN_GA(x₁)) = 1 + x₁   
POL(EF_IN_GA(x₁)) = 1 + x₁   
POL(EI_IN_GA(x₁)) = 1 + x₁   
POL(EN13_IN_GA(x₁)) = 1 + x₁   
POL(EN17_IN_GA(x₁)) = 1 + x₁   
POL(EN21_IN_GA(x₁)) = 1 + x₁   
POL(EN25_IN_GA(x₁)) = 1 + x₁   
POL(EN2_IN_GA(x₁)) = 1 + x₁   
POL(EN6_IN_GA(x₁)) = 1 + x₁   
POL(EN_IN_GA(x₁)) = 1 + x₁   
POL(EP_IN_GA(x₁)) = 1 + x₁   
POL(ET_IN_GA(x₁)) = 1 + x₁   
POL(EX_IN_GA(x₁)) = 1 + x₁   
POL(NB_IN_GA(x₁)) = 1 + x₁   
POL(NE_IN_GA(x₁)) = x₁   
POL(PC_IN_GAA(x₁)) = 1 + x₁   
POL(PD_IN_GAA(x₁)) = 1 + x₁   
POL(PH_IN_GAA(x₁)) = x₁   
POL(PJ_IN_GAA(x₁)) = 1 + x₁   
POL(PL_IN_GAA(x₁)) = 1 + x₁   
POL(PN10_IN_GAA(x₁)) = 1 + x₁   
POL(PN12_IN_GAA(x₁)) = x₁   
POL(PN14_IN_GAA(x₁)) = 1 + x₁   
POL(PN16_IN_GAA(x₁)) = x₁   
POL(PN18_IN_GAA(x₁)) = 1 + x₁   
POL(PN1_IN_GAA(x₁)) = x₁   
POL(PN20_IN_GAA(x₁)) = x₁   
POL(PN22_IN_GAA(x₁)) = 1 + x₁   
POL(PN24_IN_GAA(x₁)) = x₁   
POL(PN26_IN_GAA(x₁)) = 1 + x₁   
POL(PN28_IN_GAA(x₁)) = x₁   
POL(PN29_IN_GAA(x₁)) = 1 + x₁   
POL(PN3_IN_GAA(x₁)) = 1 + x₁   
POL(PN5_IN_GAA(x₁)) = x₁   
POL(PN7_IN_GAA(x₁)) = 1 + x₁   
POL(PN9_IN_GAA(x₁)) = x₁   
POL(PO_IN_GAA(x₁)) = 1 + x₁   
POL(PQ_IN_GAA(x₁)) = 1 + x₁   
POL(PS_IN_GAA(x₁)) = x₁   
POL(PU_IN_GAA(x₁)) = 1 + x₁   
POL(PW_IN_GAA(x₁)) = x₁   
POL(PY_IN_GAA(x₁)) = 1 + x₁   
POL(TG_IN_GA(x₁)) = x₁   
POL(TK_IN_GA(x₁)) = 1 + x₁   
POL(TM_IN_GA(x₁)) = 1 + x₁   
POL(TN11_IN_GA(x₁)) = x₁   
POL(TN15_IN_GA(x₁)) = x₁   
POL(TN19_IN_GA(x₁)) = x₁   
POL(TN23_IN_GA(x₁)) = x₁   
POL(TN27_IN_GA(x₁)) = x₁   
POL(TN30_IN_GA(x₁)) = 1 + x₁   
POL(TN4_IN_GA(x₁)) = x₁   
POL(TN8_IN_GA(x₁)) = x₁   
POL(TR_IN_GA(x₁)) = x₁   
POL(TV_IN_GA(x₁)) = x₁   
POL(TZ_IN_GA(x₁)) = x₁   
POL(U100_GAA(x₁, x₂)) = x₂   
POL(U100_gaa(x₁, x₂)) = x₂   
POL(U101_gaa(x₁, x₂, x₃)) = x₃   
POL(U102_GAA(x₁, x₂)) = x₂   
POL(U102_gaa(x₁, x₂)) = x₂   
POL(U103_gaa(x₁, x₂, x₃)) = x₃   
POL(U104_GAA(x₁, x₂)) = x₂   
POL(U104_gaa(x₁, x₂)) = x₂   
POL(U105_gaa(x₁, x₂, x₃)) = x₃   
POL(U106_GAA(x₁, x₂)) = x₂   
POL(U106_gaa(x₁, x₂)) = x₂   
POL(U107_gaa(x₁, x₂, x₃)) = x₃   
POL(U108_GAA(x₁, x₂)) = x₂   
POL(U108_gaa(x₁, x₂)) = x₂   
POL(U109_gaa(x₁, x₂, x₃)) = x₃   
POL(U10_ga(x₁, x₂)) = x₂   
POL(U110_GAA(x₁, x₂)) = x₂   
POL(U110_gaa(x₁, x₂)) = x₂   
POL(U111_gaa(x₁, x₂, x₃)) = x₃   
POL(U11_ga(x₁, x₂)) = x₂   
POL(U12_ga(x₁, x₂)) = x₂   
POL(U13_ga(x₁, x₂)) = x₂   
POL(U14_ga(x₁, x₂)) = x₂   
POL(U15_ga(x₁, x₂)) = 1 + x₂   
POL(U16_ga(x₁, x₂)) = x₂   
POL(U17_ga(x₁, x₂)) = x₂   
POL(U18_ga(x₁, x₂)) = x₂   
POL(U19_ga(x₁, x₂)) = x₂   
POL(U1_ga(x₁, x₂)) = x₂   
POL(U20_ga(x₁, x₂)) = x₂   
POL(U21_ga(x₁, x₂)) = x₂   
POL(U22_ga(x₁, x₂)) = x₂   
POL(U23_ga(x₁, x₂)) = x₂   
POL(U24_ga(x₁, x₂)) = x₂   
POL(U25_ga(x₁, x₂)) = x₂   
POL(U26_ga(x₁, x₂)) = x₂   
POL(U27_ga(x₁, x₂)) = x₂   
POL(U28_ga(x₁, x₂)) = x₂   
POL(U29_ga(x₁, x₂)) = x₂   
POL(U2_ga(x₁, x₂)) = x₂   
POL(U30_ga(x₁, x₂)) = x₂   
POL(U31_ga(x₁, x₂)) = x₂   
POL(U32_ga(x₁, x₂)) = x₂   
POL(U33_ga(x₁, x₂)) = x₂   
POL(U34_ga(x₁, x₂)) = x₂   
POL(U35_ga(x₁, x₂)) = x₂   
POL(U36_ga(x₁, x₂)) = x₂   
POL(U37_ga(x₁, x₂)) = x₂   
POL(U38_ga(x₁, x₂)) = x₂   
POL(U39_ga(x₁, x₂)) = x₂   
POL(U3_ga(x₁, x₂)) = x₂   
POL(U40_ga(x₁, x₂)) = x₂   
POL(U41_ga(x₁, x₂)) = x₂   
POL(U42_ga(x₁, x₂)) = x₂   
POL(U43_ga(x₁, x₂)) = x₂   
POL(U44_ga(x₁, x₂)) = x₂   
POL(U45_ga(x₁, x₂)) = x₂   
POL(U46_ga(x₁, x₂)) = x₂   
POL(U47_ga(x₁, x₂)) = x₂   
POL(U48_ga(x₁, x₂)) = x₂   
POL(U49_ga(x₁, x₂)) = x₂   
POL(U4_ga(x₁, x₂)) = 1 + x₂   
POL(U50_ga(x₁, x₂)) = x₂   
POL(U51_ga(x₁, x₂)) = x₂   
POL(U52_ga(x₁, x₂)) = x₂   
POL(U53_ga(x₁, x₂)) = x₂   
POL(U54_ga(x₁, x₂)) = x₂   
POL(U55_ga(x₁, x₂)) = x₂   
POL(U56_ga(x₁, x₂)) = x₂   
POL(U57_ga(x₁, x₂)) = x₂   
POL(U58_GAA(x₁, x₂)) = x₂   
POL(U58_gaa(x₁, x₂)) = x₂   
POL(U59_gaa(x₁, x₂, x₃)) = x₃   
POL(U5_ga(x₁, x₂)) = x₂   
POL(U60_GAA(x₁, x₂)) = x₂   
POL(U60_gaa(x₁, x₂)) = x₂   
POL(U61_gaa(x₁, x₂, x₃)) = x₃   
POL(U62_GAA(x₁, x₂)) = x₂   
POL(U62_gaa(x₁, x₂)) = x₂   
POL(U63_gaa(x₁, x₂, x₃)) = x₃   
POL(U64_GAA(x₁, x₂)) = 1 + x₂   
POL(U64_gaa(x₁, x₂)) = x₂   
POL(U65_gaa(x₁, x₂, x₃)) = x₃   
POL(U66_GAA(x₁, x₂)) = x₂   
POL(U66_gaa(x₁, x₂)) = x₂   
POL(U67_gaa(x₁, x₂, x₃)) = x₃   
POL(U68_GAA(x₁, x₂)) = x₂   
POL(U68_gaa(x₁, x₂)) = x₂   
POL(U69_gaa(x₁, x₂, x₃)) = x₃   
POL(U6_ga(x₁, x₂)) = x₂   
POL(U70_GAA(x₁, x₂)) = x₂   
POL(U70_gaa(x₁, x₂)) = x₂   
POL(U71_gaa(x₁, x₂, x₃)) = x₃   
POL(U72_GAA(x₁, x₂)) = x₂   
POL(U72_gaa(x₁, x₂)) = x₂   
POL(U73_gaa(x₁, x₂, x₃)) = x₃   
POL(U74_GAA(x₁, x₂)) = x₂   
POL(U74_gaa(x₁, x₂)) = x₂   
POL(U75_gaa(x₁, x₂, x₃)) = x₃   
POL(U76_GAA(x₁, x₂)) = x₂   
POL(U76_gaa(x₁, x₂)) = x₂   
POL(U77_gaa(x₁, x₂, x₃)) = x₃   
POL(U78_GAA(x₁, x₂)) = x₂   
POL(U78_gaa(x₁, x₂)) = x₂   
POL(U79_gaa(x₁, x₂, x₃)) = x₃   
POL(U7_ga(x₁, x₂)) = x₂   
POL(U80_GAA(x₁, x₂)) = x₂   
POL(U80_gaa(x₁, x₂)) = x₂   
POL(U81_gaa(x₁, x₂, x₃)) = x₃   
POL(U82_GAA(x₁, x₂)) = x₂   
POL(U82_gaa(x₁, x₂)) = x₂   
POL(U83_gaa(x₁, x₂, x₃)) = x₃   
POL(U84_GAA(x₁, x₂)) = x₂   
POL(U84_gaa(x₁, x₂)) = x₂   
POL(U85_gaa(x₁, x₂, x₃)) = x₃   
POL(U86_GAA(x₁, x₂)) = x₂   
POL(U86_gaa(x₁, x₂)) = x₂   
POL(U87_gaa(x₁, x₂, x₃)) = x₃   
POL(U88_GAA(x₁, x₂)) = 1 + x₂   
POL(U88_gaa(x₁, x₂)) = x₂   
POL(U89_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(U8_ga(x₁, x₂)) = x₂   
POL(U90_GAA(x₁, x₂)) = x₂   
POL(U90_gaa(x₁, x₂)) = x₂   
POL(U91_gaa(x₁, x₂, x₃)) = x₃   
POL(U92_GAA(x₁, x₂)) = x₂   
POL(U92_gaa(x₁, x₂)) = x₂   
POL(U93_gaa(x₁, x₂, x₃)) = x₃   
POL(U94_GAA(x₁, x₂)) = x₂   
POL(U94_gaa(x₁, x₂)) = x₂   
POL(U95_gaa(x₁, x₂, x₃)) = x₃   
POL(U96_GAA(x₁, x₂)) = x₂   
POL(U96_gaa(x₁, x₂)) = x₂   
POL(U97_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(U98_GAA(x₁, x₂)) = x₂   
POL(U98_gaa(x₁, x₂)) = x₂   
POL(U99_gaa(x₁, x₂, x₃)) = x₃   
POL(U9_ga(x₁, x₂)) = x₂   
POL(a) = 0   
POL(b) = 0   
POL(c) = 0   
POL(eA_in_ga(x₁)) = x₁   
POL(eA_out_ga(x₁, x₂)) = x₂   
POL(eF_in_ga(x₁)) = x₁   
POL(eF_out_ga(x₁, x₂)) = x₂   
POL(eI_in_ga(x₁)) = x₁   
POL(eI_out_ga(x₁, x₂)) = x₂   
POL(eN13_in_ga(x₁)) = x₁   
POL(eN13_out_ga(x₁, x₂)) = x₂   
POL(eN17_in_ga(x₁)) = x₁   
POL(eN17_out_ga(x₁, x₂)) = x₂   
POL(eN21_in_ga(x₁)) = x₁   
POL(eN21_out_ga(x₁, x₂)) = x₂   
POL(eN25_in_ga(x₁)) = 1 + x₁   
POL(eN25_out_ga(x₁, x₂)) = x₂   
POL(eN2_in_ga(x₁)) = x₁   
POL(eN2_out_ga(x₁, x₂)) = 1 + x₂   
POL(eN6_in_ga(x₁)) = x₁   
POL(eN6_out_ga(x₁, x₂)) = 1 + x₂   
POL(eN_in_ga(x₁)) = x₁   
POL(eN_out_ga(x₁, x₂)) = 1 + x₂   
POL(eP_in_ga(x₁)) = x₁   
POL(eP_out_ga(x₁, x₂)) = x₂   
POL(eT_in_ga(x₁)) = x₁   
POL(eT_out_ga(x₁, x₂)) = 1 + x₂   
POL(eX_in_ga(x₁)) = x₁   
POL(eX_out_ga(x₁, x₂)) = 1 + x₂   
POL(lbrace) = 0   
POL(nB_in_ga(x₁)) = x₁   
POL(nB_out_ga(x₁, x₂)) = 1 + x₂   
POL(nE_in_ga(x₁)) = x₁   
POL(nE_out_ga(x₁, x₂)) = 1 + x₂   
POL(pC_in_gaa(x₁)) = x₁   
POL(pC_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pD_in_gaa(x₁)) = x₁   
POL(pD_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pH_in_gaa(x₁)) = x₁   
POL(pH_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pJ_in_gaa(x₁)) = x₁   
POL(pJ_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pL_in_gaa(x₁)) = x₁   
POL(pL_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN10_in_gaa(x₁)) = x₁   
POL(pN10_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN12_in_gaa(x₁)) = x₁   
POL(pN12_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN14_in_gaa(x₁)) = x₁   
POL(pN14_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN16_in_gaa(x₁)) = x₁   
POL(pN16_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN18_in_gaa(x₁)) = x₁   
POL(pN18_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN1_in_gaa(x₁)) = x₁   
POL(pN1_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN20_in_gaa(x₁)) = x₁   
POL(pN20_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN22_in_gaa(x₁)) = x₁   
POL(pN22_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN24_in_gaa(x₁)) = x₁   
POL(pN24_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN26_in_gaa(x₁)) = x₁   
POL(pN26_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN28_in_gaa(x₁)) = x₁   
POL(pN28_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN29_in_gaa(x₁)) = x₁   
POL(pN29_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pN3_in_gaa(x₁)) = x₁   
POL(pN3_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN5_in_gaa(x₁)) = x₁   
POL(pN5_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN7_in_gaa(x₁)) = x₁   
POL(pN7_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pN9_in_gaa(x₁)) = x₁   
POL(pN9_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pO_in_gaa(x₁)) = x₁   
POL(pO_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pQ_in_gaa(x₁)) = x₁   
POL(pQ_out_gaa(x₁, x₂, x₃)) = x₃   
POL(pS_in_gaa(x₁)) = x₁   
POL(pS_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pU_in_gaa(x₁)) = x₁   
POL(pU_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pW_in_gaa(x₁)) = x₁   
POL(pW_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(pY_in_gaa(x₁)) = x₁   
POL(pY_out_gaa(x₁, x₂, x₃)) = 1 + x₃   
POL(plus) = 0   
POL(rbrace) = 0   
POL(star) = 0   
POL(tG_in_ga(x₁)) = x₁   
POL(tG_out_ga(x₁, x₂)) = x₂   
POL(tK_in_ga(x₁)) = x₁   
POL(tK_out_ga(x₁, x₂)) = 1 + x₂   
POL(tM_in_ga(x₁)) = x₁   
POL(tM_out_ga(x₁, x₂)) = 1 + x₂   
POL(tN11_in_ga(x₁)) = x₁   
POL(tN11_out_ga(x₁, x₂)) = x₂   
POL(tN15_in_ga(x₁)) = x₁   
POL(tN15_out_ga(x₁, x₂)) = x₂   
POL(tN19_in_ga(x₁)) = x₁   
POL(tN19_out_ga(x₁, x₂)) = x₂   
POL(tN23_in_ga(x₁)) = 1 + x₁   
POL(tN23_out_ga(x₁, x₂)) = x₂   
POL(tN27_in_ga(x₁)) = x₁   
POL(tN27_out_ga(x₁, x₂)) = x₂   
POL(tN30_in_ga(x₁)) = x₁   
POL(tN30_out_ga(x₁, x₂)) = 1 + x₂   
POL(tN4_in_ga(x₁)) = x₁   
POL(tN4_out_ga(x₁, x₂)) = 1 + x₂   
POL(tN8_in_ga(x₁)) = x₁   
POL(tN8_out_ga(x₁, x₂)) = 1 + x₂   
POL(tR_in_ga(x₁)) = x₁   
POL(tR_out_ga(x₁, x₂)) = 1 + x₂   
POL(tV_in_ga(x₁)) = x₁   
POL(tV_out_ga(x₁, x₂)) = 1 + x₂   
POL(tZ_in_ga(x₁)) = x₁   
POL(tZ_out_ga(x₁, x₂)) = 1 + x₂   

The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:

nE_in_ga(.(a, .(star, T86))) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86))) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86))) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89)) → U4_ga(T89, eF_in_ga(T89))
tM_in_ga(.(a, .(plus, T389))) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389))) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389))) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392)) → U11_ga(T392, eN_in_ga(T392))
tM_in_ga(T780) → U12_ga(T780, pO_in_gaa(T780))
nB_in_ga(.(lbrace, T41)) → U55_ga(T41, eA_in_ga(T41))
U55_ga(T41, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
eA_in_ga(T22) → U1_ga(T22, nB_in_ga(T22))
nB_in_ga(.(a, T36)) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36)) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36)) → nB_out_ga(.(c, T36), T36)
U1_ga(T22, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)
eA_in_ga(T62) → U2_ga(T62, pC_in_gaa(T62))
U2_ga(T62, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
pC_in_gaa(T62) → U58_gaa(T62, nE_in_ga(T62))
U4_ga(T89, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
eF_in_ga(T97) → U53_ga(T97, tN27_in_ga(T97))
tN27_in_ga(.(a, .(rbrace, .(star, T127)))) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127)))) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127)))) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
U53_ga(T97, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
tN27_in_ga(.(lbrace, T130)) → U51_ga(T130, eN25_in_ga(T130))
U51_ga(T130, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
eN25_in_ga(T138) → U49_ga(T138, tN23_in_ga(T138))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
U49_ga(T138, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
tN23_in_ga(.(lbrace, T171)) → U47_ga(T171, eN21_in_ga(T171))
U47_ga(T171, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
eN21_in_ga(T179) → U45_ga(T179, tN19_in_ga(T179))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
U45_ga(T179, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
tN19_in_ga(.(lbrace, T212)) → U43_ga(T212, eN17_in_ga(T212))
U43_ga(T212, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
eN17_in_ga(T220) → U41_ga(T220, tN15_in_ga(T220))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
U41_ga(T220, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
tN15_in_ga(.(lbrace, T253)) → U39_ga(T253, eN13_in_ga(T253))
U39_ga(T253, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
eN13_in_ga(T261) → U37_ga(T261, tN11_in_ga(T261))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
U37_ga(T261, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
tN11_in_ga(.(lbrace, T294)) → U35_ga(T294, eI_in_ga(T294))
U35_ga(T294, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
eI_in_ga(T302) → U7_ga(T302, tG_in_ga(T302))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
U7_ga(T302, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
tG_in_ga(.(lbrace, T335)) → U5_ga(T335, eA_in_ga(T335))
U5_ga(T335, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
eA_in_ga(T941) → U3_ga(T941, pD_in_gaa(T941))
U3_ga(T941, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
pD_in_gaa(T941) → U110_gaa(T941, tM_in_ga(T941))
U11_ga(T392, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
eN_in_ga(T400) → U33_ga(T400, tN8_in_ga(T400))
tN8_in_ga(.(a, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
U33_ga(T400, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
tN8_in_ga(.(lbrace, T433)) → U31_ga(T433, eN6_in_ga(T433))
U31_ga(T433, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
eN6_in_ga(T441) → U29_ga(T441, tN4_in_ga(T441))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
U29_ga(T441, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
tN4_in_ga(.(lbrace, T474)) → U27_ga(T474, eN2_in_ga(T474))
U27_ga(T474, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
eN2_in_ga(T482) → U25_ga(T482, tZ_in_ga(T482))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
U25_ga(T482, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
tZ_in_ga(.(lbrace, T515)) → U23_ga(T515, eX_in_ga(T515))
U23_ga(T515, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
eX_in_ga(T523) → U21_ga(T523, tV_in_ga(T523))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
U21_ga(T523, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
tV_in_ga(.(lbrace, T556)) → U19_ga(T556, eT_in_ga(T556))
U19_ga(T556, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
eT_in_ga(T564) → U17_ga(T564, tR_in_ga(T564))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
U17_ga(T564, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
tR_in_ga(.(lbrace, T597)) → U15_ga(T597, eP_in_ga(T597))
U15_ga(T597, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
eP_in_ga(T605) → U13_ga(T605, tK_in_ga(T605))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
U13_ga(T605, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
tK_in_ga(.(lbrace, T638)) → U9_ga(T638, eA_in_ga(T638))
U9_ga(T638, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648) → U10_ga(T648, pL_in_gaa(T648))
U10_ga(T648, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
pL_in_gaa(T648) → U64_gaa(T648, nE_in_ga(T648))
U64_gaa(T648, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, tK_in_ga(T652))
U65_gaa(T648, T652, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
eP_in_ga(T660) → U14_ga(T660, pQ_in_gaa(T660))
U14_ga(T660, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
pQ_in_gaa(T660) → U66_gaa(T660, tM_in_ga(T660))
U12_ga(T780, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
pO_in_gaa(T780) → U88_gaa(T780, nE_in_ga(T780))
U88_gaa(T780, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, tM_in_ga(T784))
U89_gaa(T780, T784, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U66_gaa(T660, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, eP_in_ga(T662))
U67_gaa(T660, T662, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
tR_in_ga(T670) → U16_ga(T670, pS_in_gaa(T670))
U16_ga(T670, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
pS_in_gaa(T670) → U68_gaa(T670, nE_in_ga(T670))
U68_gaa(T670, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, tR_in_ga(T674))
U69_gaa(T670, T674, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
eT_in_ga(T682) → U18_ga(T682, pU_in_gaa(T682))
U18_ga(T682, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
pU_in_gaa(T682) → U70_gaa(T682, tM_in_ga(T682))
U70_gaa(T682, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, eT_in_ga(T684))
U71_gaa(T682, T684, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
tV_in_ga(T692) → U20_ga(T692, pW_in_gaa(T692))
U20_ga(T692, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
pW_in_gaa(T692) → U72_gaa(T692, nE_in_ga(T692))
U72_gaa(T692, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, tV_in_ga(T696))
U73_gaa(T692, T696, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
eX_in_ga(T704) → U22_ga(T704, pY_in_gaa(T704))
U22_ga(T704, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
pY_in_gaa(T704) → U74_gaa(T704, tM_in_ga(T704))
U74_gaa(T704, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, eX_in_ga(T706))
U75_gaa(T704, T706, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
tZ_in_ga(T714) → U24_ga(T714, pN1_in_gaa(T714))
U24_ga(T714, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
pN1_in_gaa(T714) → U76_gaa(T714, nE_in_ga(T714))
U76_gaa(T714, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, tZ_in_ga(T718))
U77_gaa(T714, T718, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
eN2_in_ga(T726) → U26_ga(T726, pN3_in_gaa(T726))
U26_ga(T726, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
pN3_in_gaa(T726) → U78_gaa(T726, tM_in_ga(T726))
U78_gaa(T726, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, eN2_in_ga(T728))
U79_gaa(T726, T728, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
tN4_in_ga(T736) → U28_ga(T736, pN5_in_gaa(T736))
U28_ga(T736, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
pN5_in_gaa(T736) → U80_gaa(T736, nE_in_ga(T736))
U80_gaa(T736, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, tN4_in_ga(T740))
U81_gaa(T736, T740, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
eN6_in_ga(T748) → U30_ga(T748, pN7_in_gaa(T748))
U30_ga(T748, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
pN7_in_gaa(T748) → U82_gaa(T748, tM_in_ga(T748))
U82_gaa(T748, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, eN6_in_ga(T750))
U83_gaa(T748, T750, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
tN8_in_ga(T758) → U32_ga(T758, pN9_in_gaa(T758))
U32_ga(T758, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
pN9_in_gaa(T758) → U84_gaa(T758, nE_in_ga(T758))
U84_gaa(T758, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, tN8_in_ga(T762))
U85_gaa(T758, T762, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
eN_in_ga(T770) → U34_ga(T770, pN10_in_gaa(T770))
U34_ga(T770, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
pN10_in_gaa(T770) → U86_gaa(T770, tM_in_ga(T770))
U86_gaa(T770, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, eN_in_ga(T772))
U87_gaa(T770, T772, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U110_gaa(T941, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, eA_in_ga(T945))
U111_gaa(T941, T945, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
tG_in_ga(T345) → U6_ga(T345, pH_in_gaa(T345))
U6_ga(T345, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
pH_in_gaa(T345) → U60_gaa(T345, nE_in_ga(T345))
U60_gaa(T345, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, tG_in_ga(T349))
U61_gaa(T345, T349, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
eI_in_ga(T357) → U8_ga(T357, pJ_in_gaa(T357))
U8_ga(T357, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
pJ_in_gaa(T357) → U62_gaa(T357, tM_in_ga(T357))
U62_gaa(T357, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, eI_in_ga(T359))
U63_gaa(T357, T359, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
tN11_in_ga(T795) → U36_ga(T795, pN12_in_gaa(T795))
U36_ga(T795, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
pN12_in_gaa(T795) → U90_gaa(T795, nE_in_ga(T795))
U90_gaa(T795, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, tN11_in_ga(T799))
U91_gaa(T795, T799, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
eN13_in_ga(T807) → U38_ga(T807, pN14_in_gaa(T807))
U38_ga(T807, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
pN14_in_gaa(T807) → U92_gaa(T807, tM_in_ga(T807))
U92_gaa(T807, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, eN13_in_ga(T809))
U93_gaa(T807, T809, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
tN15_in_ga(T817) → U40_ga(T817, pN16_in_gaa(T817))
U40_ga(T817, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
pN16_in_gaa(T817) → U94_gaa(T817, nE_in_ga(T817))
U94_gaa(T817, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, tN15_in_ga(T821))
U95_gaa(T817, T821, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
eN17_in_ga(T829) → U42_ga(T829, pN18_in_gaa(T829))
U42_ga(T829, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
pN18_in_gaa(T829) → U96_gaa(T829, tM_in_ga(T829))
U96_gaa(T829, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, eN17_in_ga(T831))
U97_gaa(T829, T831, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
tN19_in_ga(T839) → U44_ga(T839, pN20_in_gaa(T839))
U44_ga(T839, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
pN20_in_gaa(T839) → U98_gaa(T839, nE_in_ga(T839))
U98_gaa(T839, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, tN19_in_ga(T843))
U99_gaa(T839, T843, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
eN21_in_ga(T851) → U46_ga(T851, pN22_in_gaa(T851))
U46_ga(T851, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
pN22_in_gaa(T851) → U100_gaa(T851, tM_in_ga(T851))
U100_gaa(T851, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, eN21_in_ga(T853))
U101_gaa(T851, T853, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
tN23_in_ga(T861) → U48_ga(T861, pN24_in_gaa(T861))
U48_ga(T861, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
pN24_in_gaa(T861) → U102_gaa(T861, nE_in_ga(T861))
U102_gaa(T861, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, tN23_in_ga(T865))
U103_gaa(T861, T865, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
eN25_in_ga(T873) → U50_ga(T873, pN26_in_gaa(T873))
U50_ga(T873, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
pN26_in_gaa(T873) → U104_gaa(T873, tM_in_ga(T873))
U104_gaa(T873, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, eN25_in_ga(T875))
U105_gaa(T873, T875, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
tN27_in_ga(T883) → U52_ga(T883, pN28_in_gaa(T883))
U52_ga(T883, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
pN28_in_gaa(T883) → U106_gaa(T883, nE_in_ga(T883))
U106_gaa(T883, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, tN27_in_ga(T887))
U107_gaa(T883, T887, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
eF_in_ga(T895) → U54_ga(T895, pN29_in_gaa(T895))
U54_ga(T895, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
pN29_in_gaa(T895) → U108_gaa(T895, tM_in_ga(T895))
U108_gaa(T895, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, eF_in_ga(T897))
U109_gaa(T895, T897, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U58_gaa(T62, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, tN30_in_ga(T68))
U59_gaa(T62, T68, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
tN30_in_ga(T916) → U56_ga(T916, nB_in_ga(T916))
U56_ga(T916, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929) → U57_ga(T929, pC_in_gaa(T929))
U57_ga(T929, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)

(10) Obligation:

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

EA_IN_GA(T22) → NB_IN_GA(T22)
EA_IN_GA(T62) → PC_IN_GAA(T62)
U58_GAA(T62, nE_out_ga(T62, T68)) → TN30_IN_GA(T68)
TN30_IN_GA(T916) → NB_IN_GA(T916)
TN30_IN_GA(T929) → PC_IN_GAA(T929)
NE_IN_GA(.(lbrace, T89)) → EF_IN_GA(T89)
TN27_IN_GA(.(lbrace, T130)) → EN25_IN_GA(T130)
TN23_IN_GA(.(lbrace, T171)) → EN21_IN_GA(T171)
TN19_IN_GA(.(lbrace, T212)) → EN17_IN_GA(T212)
TN15_IN_GA(.(lbrace, T253)) → EN13_IN_GA(T253)
TN11_IN_GA(.(lbrace, T294)) → EI_IN_GA(T294)
TG_IN_GA(.(lbrace, T335)) → EA_IN_GA(T335)
EA_IN_GA(T941) → PD_IN_GAA(T941)
U110_GAA(T941, tM_out_ga(T941, T945)) → EA_IN_GA(T945)
PD_IN_GAA(T941) → TM_IN_GA(T941)
TN8_IN_GA(.(lbrace, T433)) → EN6_IN_GA(T433)
TN4_IN_GA(.(lbrace, T474)) → EN2_IN_GA(T474)
TZ_IN_GA(.(lbrace, T515)) → EX_IN_GA(T515)
TV_IN_GA(.(lbrace, T556)) → ET_IN_GA(T556)
TR_IN_GA(.(lbrace, T597)) → EP_IN_GA(T597)
EP_IN_GA(T605) → TK_IN_GA(T605)
TK_IN_GA(T648) → PL_IN_GAA(T648)
PL_IN_GAA(T648) → U64_GAA(T648, nE_in_ga(T648))
EP_IN_GA(T660) → PQ_IN_GAA(T660)
U66_GAA(T660, tM_out_ga(T660, T662)) → EP_IN_GA(T662)
PQ_IN_GAA(T660) → TM_IN_GA(T660)
TM_IN_GA(T780) → PO_IN_GAA(T780)
PO_IN_GAA(T780) → U88_GAA(T780, nE_in_ga(T780))
TR_IN_GA(T670) → PS_IN_GAA(T670)
PS_IN_GAA(T670) → U68_GAA(T670, nE_in_ga(T670))
PS_IN_GAA(T670) → NE_IN_GA(T670)
ET_IN_GA(T682) → PU_IN_GAA(T682)
U70_GAA(T682, tM_out_ga(T682, T684)) → ET_IN_GA(T684)
PU_IN_GAA(T682) → TM_IN_GA(T682)
TV_IN_GA(T692) → PW_IN_GAA(T692)
PW_IN_GAA(T692) → U72_GAA(T692, nE_in_ga(T692))
PW_IN_GAA(T692) → NE_IN_GA(T692)
EX_IN_GA(T704) → PY_IN_GAA(T704)
U74_GAA(T704, tM_out_ga(T704, T706)) → EX_IN_GA(T706)
PY_IN_GAA(T704) → TM_IN_GA(T704)
TZ_IN_GA(T714) → PN1_IN_GAA(T714)
PN1_IN_GAA(T714) → U76_GAA(T714, nE_in_ga(T714))
PN1_IN_GAA(T714) → NE_IN_GA(T714)
EN2_IN_GA(T726) → PN3_IN_GAA(T726)
U78_GAA(T726, tM_out_ga(T726, T728)) → EN2_IN_GA(T728)
PN3_IN_GAA(T726) → TM_IN_GA(T726)
TN4_IN_GA(T736) → PN5_IN_GAA(T736)
PN5_IN_GAA(T736) → U80_GAA(T736, nE_in_ga(T736))
PN5_IN_GAA(T736) → NE_IN_GA(T736)
EN6_IN_GA(T748) → PN7_IN_GAA(T748)
U82_GAA(T748, tM_out_ga(T748, T750)) → EN6_IN_GA(T750)
PN7_IN_GAA(T748) → TM_IN_GA(T748)
TN8_IN_GA(T758) → PN9_IN_GAA(T758)
PN9_IN_GAA(T758) → U84_GAA(T758, nE_in_ga(T758))
PN9_IN_GAA(T758) → NE_IN_GA(T758)
EN_IN_GA(T770) → PN10_IN_GAA(T770)
U86_GAA(T770, tM_out_ga(T770, T772)) → EN_IN_GA(T772)
PN10_IN_GAA(T770) → TM_IN_GA(T770)
TG_IN_GA(T345) → PH_IN_GAA(T345)
PH_IN_GAA(T345) → U60_GAA(T345, nE_in_ga(T345))
PH_IN_GAA(T345) → NE_IN_GA(T345)
EI_IN_GA(T357) → PJ_IN_GAA(T357)
U62_GAA(T357, tM_out_ga(T357, T359)) → EI_IN_GA(T359)
PJ_IN_GAA(T357) → TM_IN_GA(T357)
TN11_IN_GA(T795) → PN12_IN_GAA(T795)
PN12_IN_GAA(T795) → U90_GAA(T795, nE_in_ga(T795))
PN12_IN_GAA(T795) → NE_IN_GA(T795)
EN13_IN_GA(T807) → PN14_IN_GAA(T807)
U92_GAA(T807, tM_out_ga(T807, T809)) → EN13_IN_GA(T809)
PN14_IN_GAA(T807) → TM_IN_GA(T807)
TN15_IN_GA(T817) → PN16_IN_GAA(T817)
PN16_IN_GAA(T817) → U94_GAA(T817, nE_in_ga(T817))
PN16_IN_GAA(T817) → NE_IN_GA(T817)
EN17_IN_GA(T829) → PN18_IN_GAA(T829)
U96_GAA(T829, tM_out_ga(T829, T831)) → EN17_IN_GA(T831)
PN18_IN_GAA(T829) → TM_IN_GA(T829)
TN19_IN_GA(T839) → PN20_IN_GAA(T839)
PN20_IN_GAA(T839) → U98_GAA(T839, nE_in_ga(T839))
PN20_IN_GAA(T839) → NE_IN_GA(T839)
EN21_IN_GA(T851) → PN22_IN_GAA(T851)
U100_GAA(T851, tM_out_ga(T851, T853)) → EN21_IN_GA(T853)
PN22_IN_GAA(T851) → TM_IN_GA(T851)
TN23_IN_GA(T861) → PN24_IN_GAA(T861)
PN24_IN_GAA(T861) → U102_GAA(T861, nE_in_ga(T861))
PN24_IN_GAA(T861) → NE_IN_GA(T861)
EN25_IN_GA(T873) → PN26_IN_GAA(T873)
U104_GAA(T873, tM_out_ga(T873, T875)) → EN25_IN_GA(T875)
PN26_IN_GAA(T873) → TM_IN_GA(T873)
TN27_IN_GA(T883) → PN28_IN_GAA(T883)
PN28_IN_GAA(T883) → U106_GAA(T883, nE_in_ga(T883))
PN28_IN_GAA(T883) → NE_IN_GA(T883)
EF_IN_GA(T895) → PN29_IN_GAA(T895)
U108_GAA(T895, tM_out_ga(T895, T897)) → EF_IN_GA(T897)
PN29_IN_GAA(T895) → TM_IN_GA(T895)

The TRS R consists of the following rules:

eA_in_ga(T22) → U1_ga(T22, nB_in_ga(T22))
nB_in_ga(.(a, T36)) → nB_out_ga(.(a, T36), T36)
nB_in_ga(.(b, T36)) → nB_out_ga(.(b, T36), T36)
nB_in_ga(.(c, T36)) → nB_out_ga(.(c, T36), T36)
nB_in_ga(.(lbrace, T41)) → U55_ga(T41, eA_in_ga(T41))
eA_in_ga(T62) → U2_ga(T62, pC_in_gaa(T62))
pC_in_gaa(T62) → U58_gaa(T62, nE_in_ga(T62))
nE_in_ga(.(a, .(star, T86))) → nE_out_ga(.(a, .(star, T86)), T86)
nE_in_ga(.(b, .(star, T86))) → nE_out_ga(.(b, .(star, T86)), T86)
nE_in_ga(.(c, .(star, T86))) → nE_out_ga(.(c, .(star, T86)), T86)
nE_in_ga(.(lbrace, T89)) → U4_ga(T89, eF_in_ga(T89))
eF_in_ga(T97) → U53_ga(T97, tN27_in_ga(T97))
tN27_in_ga(.(a, .(rbrace, .(star, T127)))) → tN27_out_ga(.(a, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(b, .(rbrace, .(star, T127)))) → tN27_out_ga(.(b, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(c, .(rbrace, .(star, T127)))) → tN27_out_ga(.(c, .(rbrace, .(star, T127))), T127)
tN27_in_ga(.(lbrace, T130)) → U51_ga(T130, eN25_in_ga(T130))
eN25_in_ga(T138) → U49_ga(T138, tN23_in_ga(T138))
tN23_in_ga(.(a, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(a, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(b, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(b, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(c, .(rbrace, .(rbrace, .(star, T168))))) → tN23_out_ga(.(c, .(rbrace, .(rbrace, .(star, T168)))), T168)
tN23_in_ga(.(lbrace, T171)) → U47_ga(T171, eN21_in_ga(T171))
eN21_in_ga(T179) → U45_ga(T179, tN19_in_ga(T179))
tN19_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209)))))) → tN19_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(star, T209))))), T209)
tN19_in_ga(.(lbrace, T212)) → U43_ga(T212, eN17_in_ga(T212))
eN17_in_ga(T220) → U41_ga(T220, tN15_in_ga(T220))
tN15_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250))))))) → tN15_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T250)))))), T250)
tN15_in_ga(.(lbrace, T253)) → U39_ga(T253, eN13_in_ga(T253))
eN13_in_ga(T261) → U37_ga(T261, tN11_in_ga(T261))
tN11_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291)))))))) → tN11_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T291))))))), T291)
tN11_in_ga(.(lbrace, T294)) → U35_ga(T294, eI_in_ga(T294))
eI_in_ga(T302) → U7_ga(T302, tG_in_ga(T302))
tG_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332))))))))) → tG_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, T332)))))))), T332)
tG_in_ga(.(lbrace, T335)) → U5_ga(T335, eA_in_ga(T335))
eA_in_ga(T941) → U3_ga(T941, pD_in_gaa(T941))
pD_in_gaa(T941) → U110_gaa(T941, tM_in_ga(T941))
tM_in_ga(.(a, .(plus, T389))) → tM_out_ga(.(a, .(plus, T389)), T389)
tM_in_ga(.(b, .(plus, T389))) → tM_out_ga(.(b, .(plus, T389)), T389)
tM_in_ga(.(c, .(plus, T389))) → tM_out_ga(.(c, .(plus, T389)), T389)
tM_in_ga(.(lbrace, T392)) → U11_ga(T392, eN_in_ga(T392))
eN_in_ga(T400) → U33_ga(T400, tN8_in_ga(T400))
tN8_in_ga(.(a, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(a, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(b, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(b, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(c, .(rbrace, .(plus, T430)))) → tN8_out_ga(.(c, .(rbrace, .(plus, T430))), T430)
tN8_in_ga(.(lbrace, T433)) → U31_ga(T433, eN6_in_ga(T433))
eN6_in_ga(T441) → U29_ga(T441, tN4_in_ga(T441))
tN4_in_ga(.(a, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(a, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(b, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(b, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(c, .(rbrace, .(rbrace, .(plus, T471))))) → tN4_out_ga(.(c, .(rbrace, .(rbrace, .(plus, T471)))), T471)
tN4_in_ga(.(lbrace, T474)) → U27_ga(T474, eN2_in_ga(T474))
eN2_in_ga(T482) → U25_ga(T482, tZ_in_ga(T482))
tZ_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512)))))) → tZ_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(plus, T512))))), T512)
tZ_in_ga(.(lbrace, T515)) → U23_ga(T515, eX_in_ga(T515))
eX_in_ga(T523) → U21_ga(T523, tV_in_ga(T523))
tV_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553))))))) → tV_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T553)))))), T553)
tV_in_ga(.(lbrace, T556)) → U19_ga(T556, eT_in_ga(T556))
eT_in_ga(T564) → U17_ga(T564, tR_in_ga(T564))
tR_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594)))))))) → tR_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T594))))))), T594)
tR_in_ga(.(lbrace, T597)) → U15_ga(T597, eP_in_ga(T597))
eP_in_ga(T605) → U13_ga(T605, tK_in_ga(T605))
tK_in_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(a, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(b, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635))))))))) → tK_out_ga(.(c, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, T635)))))))), T635)
tK_in_ga(.(lbrace, T638)) → U9_ga(T638, eA_in_ga(T638))
U9_ga(T638, eA_out_ga(T638, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(plus, X967)))))))))) → tK_out_ga(.(lbrace, T638), X967)
tK_in_ga(T648) → U10_ga(T648, pL_in_gaa(T648))
pL_in_gaa(T648) → U64_gaa(T648, nE_in_ga(T648))
U64_gaa(T648, nE_out_ga(T648, T652)) → U65_gaa(T648, T652, tK_in_ga(T652))
U65_gaa(T648, T652, tK_out_ga(T652, X985)) → pL_out_gaa(T648, T652, X985)
U10_ga(T648, pL_out_gaa(T648, X984, X985)) → tK_out_ga(T648, X985)
U13_ga(T605, tK_out_ga(T605, X924)) → eP_out_ga(T605, X924)
eP_in_ga(T660) → U14_ga(T660, pQ_in_gaa(T660))
pQ_in_gaa(T660) → U66_gaa(T660, tM_in_ga(T660))
tM_in_ga(T780) → U12_ga(T780, pO_in_gaa(T780))
pO_in_gaa(T780) → U88_gaa(T780, nE_in_ga(T780))
U88_gaa(T780, nE_out_ga(T780, T784)) → U89_gaa(T780, T784, tM_in_ga(T784))
U89_gaa(T780, T784, tM_out_ga(T784, X1243)) → pO_out_gaa(T780, T784, X1243)
U12_ga(T780, pO_out_gaa(T780, X1242, X1243)) → tM_out_ga(T780, X1243)
U66_gaa(T660, tM_out_ga(T660, T662)) → U67_gaa(T660, T662, eP_in_ga(T662))
U67_gaa(T660, T662, eP_out_ga(T662, X1006)) → pQ_out_gaa(T660, T662, X1006)
U14_ga(T660, pQ_out_gaa(T660, X1005, X1006)) → eP_out_ga(T660, X1006)
U15_ga(T597, eP_out_ga(T597, X900)) → tR_out_ga(.(lbrace, T597), X900)
tR_in_ga(T670) → U16_ga(T670, pS_in_gaa(T670))
pS_in_gaa(T670) → U68_gaa(T670, nE_in_ga(T670))
U68_gaa(T670, nE_out_ga(T670, T674)) → U69_gaa(T670, T674, tR_in_ga(T674))
U69_gaa(T670, T674, tR_out_ga(T674, X1028)) → pS_out_gaa(T670, T674, X1028)
U16_ga(T670, pS_out_gaa(T670, X1027, X1028)) → tR_out_ga(T670, X1028)
U17_ga(T564, tR_out_ga(T564, X857)) → eT_out_ga(T564, X857)
eT_in_ga(T682) → U18_ga(T682, pU_in_gaa(T682))
pU_in_gaa(T682) → U70_gaa(T682, tM_in_ga(T682))
U70_gaa(T682, tM_out_ga(T682, T684)) → U71_gaa(T682, T684, eT_in_ga(T684))
U71_gaa(T682, T684, eT_out_ga(T684, X1049)) → pU_out_gaa(T682, T684, X1049)
U18_ga(T682, pU_out_gaa(T682, X1048, X1049)) → eT_out_ga(T682, X1049)
U19_ga(T556, eT_out_ga(T556, X833)) → tV_out_ga(.(lbrace, T556), X833)
tV_in_ga(T692) → U20_ga(T692, pW_in_gaa(T692))
pW_in_gaa(T692) → U72_gaa(T692, nE_in_ga(T692))
U72_gaa(T692, nE_out_ga(T692, T696)) → U73_gaa(T692, T696, tV_in_ga(T696))
U73_gaa(T692, T696, tV_out_ga(T696, X1071)) → pW_out_gaa(T692, T696, X1071)
U20_ga(T692, pW_out_gaa(T692, X1070, X1071)) → tV_out_ga(T692, X1071)
U21_ga(T523, tV_out_ga(T523, X790)) → eX_out_ga(T523, X790)
eX_in_ga(T704) → U22_ga(T704, pY_in_gaa(T704))
pY_in_gaa(T704) → U74_gaa(T704, tM_in_ga(T704))
U74_gaa(T704, tM_out_ga(T704, T706)) → U75_gaa(T704, T706, eX_in_ga(T706))
U75_gaa(T704, T706, eX_out_ga(T706, X1092)) → pY_out_gaa(T704, T706, X1092)
U22_ga(T704, pY_out_gaa(T704, X1091, X1092)) → eX_out_ga(T704, X1092)
U23_ga(T515, eX_out_ga(T515, X766)) → tZ_out_ga(.(lbrace, T515), X766)
tZ_in_ga(T714) → U24_ga(T714, pN1_in_gaa(T714))
pN1_in_gaa(T714) → U76_gaa(T714, nE_in_ga(T714))
U76_gaa(T714, nE_out_ga(T714, T718)) → U77_gaa(T714, T718, tZ_in_ga(T718))
U77_gaa(T714, T718, tZ_out_ga(T718, X1114)) → pN1_out_gaa(T714, T718, X1114)
U24_ga(T714, pN1_out_gaa(T714, X1113, X1114)) → tZ_out_ga(T714, X1114)
U25_ga(T482, tZ_out_ga(T482, X723)) → eN2_out_ga(T482, X723)
eN2_in_ga(T726) → U26_ga(T726, pN3_in_gaa(T726))
pN3_in_gaa(T726) → U78_gaa(T726, tM_in_ga(T726))
U78_gaa(T726, tM_out_ga(T726, T728)) → U79_gaa(T726, T728, eN2_in_ga(T728))
U79_gaa(T726, T728, eN2_out_ga(T728, X1135)) → pN3_out_gaa(T726, T728, X1135)
U26_ga(T726, pN3_out_gaa(T726, X1134, X1135)) → eN2_out_ga(T726, X1135)
U27_ga(T474, eN2_out_ga(T474, X699)) → tN4_out_ga(.(lbrace, T474), X699)
tN4_in_ga(T736) → U28_ga(T736, pN5_in_gaa(T736))
pN5_in_gaa(T736) → U80_gaa(T736, nE_in_ga(T736))
U80_gaa(T736, nE_out_ga(T736, T740)) → U81_gaa(T736, T740, tN4_in_ga(T740))
U81_gaa(T736, T740, tN4_out_ga(T740, X1157)) → pN5_out_gaa(T736, T740, X1157)
U28_ga(T736, pN5_out_gaa(T736, X1156, X1157)) → tN4_out_ga(T736, X1157)
U29_ga(T441, tN4_out_ga(T441, X656)) → eN6_out_ga(T441, X656)
eN6_in_ga(T748) → U30_ga(T748, pN7_in_gaa(T748))
pN7_in_gaa(T748) → U82_gaa(T748, tM_in_ga(T748))
U82_gaa(T748, tM_out_ga(T748, T750)) → U83_gaa(T748, T750, eN6_in_ga(T750))
U83_gaa(T748, T750, eN6_out_ga(T750, X1178)) → pN7_out_gaa(T748, T750, X1178)
U30_ga(T748, pN7_out_gaa(T748, X1177, X1178)) → eN6_out_ga(T748, X1178)
U31_ga(T433, eN6_out_ga(T433, X632)) → tN8_out_ga(.(lbrace, T433), X632)
tN8_in_ga(T758) → U32_ga(T758, pN9_in_gaa(T758))
pN9_in_gaa(T758) → U84_gaa(T758, nE_in_ga(T758))
U84_gaa(T758, nE_out_ga(T758, T762)) → U85_gaa(T758, T762, tN8_in_ga(T762))
U85_gaa(T758, T762, tN8_out_ga(T762, X1200)) → pN9_out_gaa(T758, T762, X1200)
U32_ga(T758, pN9_out_gaa(T758, X1199, X1200)) → tN8_out_ga(T758, X1200)
U33_ga(T400, tN8_out_ga(T400, X589)) → eN_out_ga(T400, X589)
eN_in_ga(T770) → U34_ga(T770, pN10_in_gaa(T770))
pN10_in_gaa(T770) → U86_gaa(T770, tM_in_ga(T770))
U86_gaa(T770, tM_out_ga(T770, T772)) → U87_gaa(T770, T772, eN_in_ga(T772))
U87_gaa(T770, T772, eN_out_ga(T772, X1221)) → pN10_out_gaa(T770, T772, X1221)
U34_ga(T770, pN10_out_gaa(T770, X1220, X1221)) → eN_out_ga(T770, X1221)
U11_ga(T392, eN_out_ga(T392, X565)) → tM_out_ga(.(lbrace, T392), X565)
U110_gaa(T941, tM_out_ga(T941, T945)) → U111_gaa(T941, T945, eA_in_ga(T945))
U111_gaa(T941, T945, eA_out_ga(T945, T943)) → pD_out_gaa(T941, T945, T943)
U3_ga(T941, pD_out_gaa(T941, X1509, T943)) → eA_out_ga(T941, T943)
U5_ga(T335, eA_out_ga(T335, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(rbrace, .(star, X480)))))))))) → tG_out_ga(.(lbrace, T335), X480)
tG_in_ga(T345) → U6_ga(T345, pH_in_gaa(T345))
pH_in_gaa(T345) → U60_gaa(T345, nE_in_ga(T345))
U60_gaa(T345, nE_out_ga(T345, T349)) → U61_gaa(T345, T349, tG_in_ga(T349))
U61_gaa(T345, T349, tG_out_ga(T349, X498)) → pH_out_gaa(T345, T349, X498)
U6_ga(T345, pH_out_gaa(T345, X497, X498)) → tG_out_ga(T345, X498)
U7_ga(T302, tG_out_ga(T302, X437)) → eI_out_ga(T302, X437)
eI_in_ga(T357) → U8_ga(T357, pJ_in_gaa(T357))
pJ_in_gaa(T357) → U62_gaa(T357, tM_in_ga(T357))
U62_gaa(T357, tM_out_ga(T357, T359)) → U63_gaa(T357, T359, eI_in_ga(T359))
U63_gaa(T357, T359, eI_out_ga(T359, X519)) → pJ_out_gaa(T357, T359, X519)
U8_ga(T357, pJ_out_gaa(T357, X518, X519)) → eI_out_ga(T357, X519)
U35_ga(T294, eI_out_ga(T294, X413)) → tN11_out_ga(.(lbrace, T294), X413)
tN11_in_ga(T795) → U36_ga(T795, pN12_in_gaa(T795))
pN12_in_gaa(T795) → U90_gaa(T795, nE_in_ga(T795))
U90_gaa(T795, nE_out_ga(T795, T799)) → U91_gaa(T795, T799, tN11_in_ga(T799))
U91_gaa(T795, T799, tN11_out_ga(T799, X1266)) → pN12_out_gaa(T795, T799, X1266)
U36_ga(T795, pN12_out_gaa(T795, X1265, X1266)) → tN11_out_ga(T795, X1266)
U37_ga(T261, tN11_out_ga(T261, X370)) → eN13_out_ga(T261, X370)
eN13_in_ga(T807) → U38_ga(T807, pN14_in_gaa(T807))
pN14_in_gaa(T807) → U92_gaa(T807, tM_in_ga(T807))
U92_gaa(T807, tM_out_ga(T807, T809)) → U93_gaa(T807, T809, eN13_in_ga(T809))
U93_gaa(T807, T809, eN13_out_ga(T809, X1287)) → pN14_out_gaa(T807, T809, X1287)
U38_ga(T807, pN14_out_gaa(T807, X1286, X1287)) → eN13_out_ga(T807, X1287)
U39_ga(T253, eN13_out_ga(T253, X346)) → tN15_out_ga(.(lbrace, T253), X346)
tN15_in_ga(T817) → U40_ga(T817, pN16_in_gaa(T817))
pN16_in_gaa(T817) → U94_gaa(T817, nE_in_ga(T817))
U94_gaa(T817, nE_out_ga(T817, T821)) → U95_gaa(T817, T821, tN15_in_ga(T821))
U95_gaa(T817, T821, tN15_out_ga(T821, X1309)) → pN16_out_gaa(T817, T821, X1309)
U40_ga(T817, pN16_out_gaa(T817, X1308, X1309)) → tN15_out_ga(T817, X1309)
U41_ga(T220, tN15_out_ga(T220, X303)) → eN17_out_ga(T220, X303)
eN17_in_ga(T829) → U42_ga(T829, pN18_in_gaa(T829))
pN18_in_gaa(T829) → U96_gaa(T829, tM_in_ga(T829))
U96_gaa(T829, tM_out_ga(T829, T831)) → U97_gaa(T829, T831, eN17_in_ga(T831))
U97_gaa(T829, T831, eN17_out_ga(T831, X1330)) → pN18_out_gaa(T829, T831, X1330)
U42_ga(T829, pN18_out_gaa(T829, X1329, X1330)) → eN17_out_ga(T829, X1330)
U43_ga(T212, eN17_out_ga(T212, X279)) → tN19_out_ga(.(lbrace, T212), X279)
tN19_in_ga(T839) → U44_ga(T839, pN20_in_gaa(T839))
pN20_in_gaa(T839) → U98_gaa(T839, nE_in_ga(T839))
U98_gaa(T839, nE_out_ga(T839, T843)) → U99_gaa(T839, T843, tN19_in_ga(T843))
U99_gaa(T839, T843, tN19_out_ga(T843, X1352)) → pN20_out_gaa(T839, T843, X1352)
U44_ga(T839, pN20_out_gaa(T839, X1351, X1352)) → tN19_out_ga(T839, X1352)
U45_ga(T179, tN19_out_ga(T179, X236)) → eN21_out_ga(T179, X236)
eN21_in_ga(T851) → U46_ga(T851, pN22_in_gaa(T851))
pN22_in_gaa(T851) → U100_gaa(T851, tM_in_ga(T851))
U100_gaa(T851, tM_out_ga(T851, T853)) → U101_gaa(T851, T853, eN21_in_ga(T853))
U101_gaa(T851, T853, eN21_out_ga(T853, X1373)) → pN22_out_gaa(T851, T853, X1373)
U46_ga(T851, pN22_out_gaa(T851, X1372, X1373)) → eN21_out_ga(T851, X1373)
U47_ga(T171, eN21_out_ga(T171, X212)) → tN23_out_ga(.(lbrace, T171), X212)
tN23_in_ga(T861) → U48_ga(T861, pN24_in_gaa(T861))
pN24_in_gaa(T861) → U102_gaa(T861, nE_in_ga(T861))
U102_gaa(T861, nE_out_ga(T861, T865)) → U103_gaa(T861, T865, tN23_in_ga(T865))
U103_gaa(T861, T865, tN23_out_ga(T865, X1395)) → pN24_out_gaa(T861, T865, X1395)
U48_ga(T861, pN24_out_gaa(T861, X1394, X1395)) → tN23_out_ga(T861, X1395)
U49_ga(T138, tN23_out_ga(T138, X169)) → eN25_out_ga(T138, X169)
eN25_in_ga(T873) → U50_ga(T873, pN26_in_gaa(T873))
pN26_in_gaa(T873) → U104_gaa(T873, tM_in_ga(T873))
U104_gaa(T873, tM_out_ga(T873, T875)) → U105_gaa(T873, T875, eN25_in_ga(T875))
U105_gaa(T873, T875, eN25_out_ga(T875, X1416)) → pN26_out_gaa(T873, T875, X1416)
U50_ga(T873, pN26_out_gaa(T873, X1415, X1416)) → eN25_out_ga(T873, X1416)
U51_ga(T130, eN25_out_ga(T130, X145)) → tN27_out_ga(.(lbrace, T130), X145)
tN27_in_ga(T883) → U52_ga(T883, pN28_in_gaa(T883))
pN28_in_gaa(T883) → U106_gaa(T883, nE_in_ga(T883))
U106_gaa(T883, nE_out_ga(T883, T887)) → U107_gaa(T883, T887, tN27_in_ga(T887))
U107_gaa(T883, T887, tN27_out_ga(T887, X1438)) → pN28_out_gaa(T883, T887, X1438)
U52_ga(T883, pN28_out_gaa(T883, X1437, X1438)) → tN27_out_ga(T883, X1438)
U53_ga(T97, tN27_out_ga(T97, X102)) → eF_out_ga(T97, X102)
eF_in_ga(T895) → U54_ga(T895, pN29_in_gaa(T895))
pN29_in_gaa(T895) → U108_gaa(T895, tM_in_ga(T895))
U108_gaa(T895, tM_out_ga(T895, T897)) → U109_gaa(T895, T897, eF_in_ga(T897))
U109_gaa(T895, T897, eF_out_ga(T897, X1459)) → pN29_out_gaa(T895, T897, X1459)
U54_ga(T895, pN29_out_gaa(T895, X1458, X1459)) → eF_out_ga(T895, X1459)
U4_ga(T89, eF_out_ga(T89, X78)) → nE_out_ga(.(lbrace, T89), X78)
U58_gaa(T62, nE_out_ga(T62, T68)) → U59_gaa(T62, T68, tN30_in_ga(T68))
tN30_in_ga(T916) → U56_ga(T916, nB_in_ga(T916))
U56_ga(T916, nB_out_ga(T916, T918)) → tN30_out_ga(T916, T918)
tN30_in_ga(T929) → U57_ga(T929, pC_in_gaa(T929))
U57_ga(T929, pC_out_gaa(T929, X1496, T931)) → tN30_out_ga(T929, T931)
U59_gaa(T62, T68, tN30_out_ga(T68, T64)) → pC_out_gaa(T62, T68, T64)
U2_ga(T62, pC_out_gaa(T62, X55, T64)) → eA_out_ga(T62, T64)
U55_ga(T41, eA_out_ga(T41, .(rbrace, T43))) → nB_out_ga(.(lbrace, T41), T43)
U1_ga(T22, nB_out_ga(T22, T24)) → eA_out_ga(T22, T24)

The set Q consists of the following terms:

eA_in_ga(x0)
nB_in_ga(x0)
pC_in_gaa(x0)
nE_in_ga(x0)
eF_in_ga(x0)
tN27_in_ga(x0)
eN25_in_ga(x0)
tN23_in_ga(x0)
eN21_in_ga(x0)
tN19_in_ga(x0)
eN17_in_ga(x0)
tN15_in_ga(x0)
eN13_in_ga(x0)
tN11_in_ga(x0)
eI_in_ga(x0)
tG_in_ga(x0)
pD_in_gaa(x0)
tM_in_ga(x0)
eN_in_ga(x0)
tN8_in_ga(x0)
eN6_in_ga(x0)
tN4_in_ga(x0)
eN2_in_ga(x0)
tZ_in_ga(x0)
eX_in_ga(x0)
tV_in_ga(x0)
eT_in_ga(x0)
tR_in_ga(x0)
eP_in_ga(x0)
tK_in_ga(x0)
U9_ga(x0, x1)
pL_in_gaa(x0)
U64_gaa(x0, x1)
U65_gaa(x0, x1, x2)
U10_ga(x0, x1)
U13_ga(x0, x1)
pQ_in_gaa(x0)
pO_in_gaa(x0)
U88_gaa(x0, x1)
U89_gaa(x0, x1, x2)
U12_ga(x0, x1)
U66_gaa(x0, x1)
U67_gaa(x0, x1, x2)
U14_ga(x0, x1)
U15_ga(x0, x1)
pS_in_gaa(x0)
U68_gaa(x0, x1)
U69_gaa(x0, x1, x2)
U16_ga(x0, x1)
U17_ga(x0, x1)
pU_in_gaa(x0)
U70_gaa(x0, x1)
U71_gaa(x0, x1, x2)
U18_ga(x0, x1)
U19_ga(x0, x1)
pW_in_gaa(x0)
U72_gaa(x0, x1)
U73_gaa(x0, x1, x2)
U20_ga(x0, x1)
U21_ga(x0, x1)
pY_in_gaa(x0)
U74_gaa(x0, x1)
U75_gaa(x0, x1, x2)
U22_ga(x0, x1)
U23_ga(x0, x1)
pN1_in_gaa(x0)
U76_gaa(x0, x1)
U77_gaa(x0, x1, x2)
U24_ga(x0, x1)
U25_ga(x0, x1)
pN3_in_gaa(x0)
U78_gaa(x0, x1)
U79_gaa(x0, x1, x2)
U26_ga(x0, x1)
U27_ga(x0, x1)
pN5_in_gaa(x0)
U80_gaa(x0, x1)
U81_gaa(x0, x1, x2)
U28_ga(x0, x1)
U29_ga(x0, x1)
pN7_in_gaa(x0)
U82_gaa(x0, x1)
U83_gaa(x0, x1, x2)
U30_ga(x0, x1)
U31_ga(x0, x1)
pN9_in_gaa(x0)
U84_gaa(x0, x1)
U85_gaa(x0, x1, x2)
U32_ga(x0, x1)
U33_ga(x0, x1)
pN10_in_gaa(x0)
U86_gaa(x0, x1)
U87_gaa(x0, x1, x2)
U34_ga(x0, x1)
U11_ga(x0, x1)
U110_gaa(x0, x1)
U111_gaa(x0, x1, x2)
U3_ga(x0, x1)
U5_ga(x0, x1)
pH_in_gaa(x0)
U60_gaa(x0, x1)
U61_gaa(x0, x1, x2)
U6_ga(x0, x1)
U7_ga(x0, x1)
pJ_in_gaa(x0)
U62_gaa(x0, x1)
U63_gaa(x0, x1, x2)
U8_ga(x0, x1)
U35_ga(x0, x1)
pN12_in_gaa(x0)
U90_gaa(x0, x1)
U91_gaa(x0, x1, x2)
U36_ga(x0, x1)
U37_ga(x0, x1)
pN14_in_gaa(x0)
U92_gaa(x0, x1)
U93_gaa(x0, x1, x2)
U38_ga(x0, x1)
U39_ga(x0, x1)
pN16_in_gaa(x0)
U94_gaa(x0, x1)
U95_gaa(x0, x1, x2)
U40_ga(x0, x1)
U41_ga(x0, x1)
pN18_in_gaa(x0)
U96_gaa(x0, x1)
U97_gaa(x0, x1, x2)
U42_ga(x0, x1)
U43_ga(x0, x1)
pN20_in_gaa(x0)
U98_gaa(x0, x1)
U99_gaa(x0, x1, x2)
U44_ga(x0, x1)
U45_ga(x0, x1)
pN22_in_gaa(x0)
U100_gaa(x0, x1)
U101_gaa(x0, x1, x2)
U46_ga(x0, x1)
U47_ga(x0, x1)
pN24_in_gaa(x0)
U102_gaa(x0, x1)
U103_gaa(x0, x1, x2)
U48_ga(x0, x1)
U49_ga(x0, x1)
pN26_in_gaa(x0)
U104_gaa(x0, x1)
U105_gaa(x0, x1, x2)
U50_ga(x0, x1)
U51_ga(x0, x1)
pN28_in_gaa(x0)
U106_gaa(x0, x1)
U107_gaa(x0, x1, x2)
U52_ga(x0, x1)
U53_ga(x0, x1)
pN29_in_gaa(x0)
U108_gaa(x0, x1)
U109_gaa(x0, x1, x2)
U54_ga(x0, x1)
U4_ga(x0, x1)
U58_gaa(x0, x1)
tN30_in_ga(x0)
U56_ga(x0, x1)
U57_ga(x0, x1)
U59_gaa(x0, x1, x2)
U2_ga(x0, x1)
U55_ga(x0, x1)
U1_ga(x0, x1)

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

(11) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 94 less nodes.

(12) TRUE